[Man Our Units]

1785 is a Kaprekar constant in base 2.
1787 is the number of different arrangements (up to rotation and reflection) of 12 non-attacking queens on a 12×12 chessboard.
1789 is the smallest number with the property that its first 4 multiples contain the digit 7.
1792 is a Friedman number.
1793 is a Pentanacci number.
1794 has a base 5 representation that begins with its base 9 representation.
1795 has a base 5 representation that begins with its base 9 representation.
1798 is a value of n for which φ(σ(n)) = φ(n).
1800 is a pentagonal pyramidal number.
1801 is a Cuban prime.
1804 is the number of 3×3 sliding puzzle positions that require exactly 14 moves to solve starting with the hole on a side.
1806 is a Schröder number.
1813 is the number of trees on 15 vertices with diameter 8.
1814 is the number of lattice points that are within 1/2 of a sphere of radius 12 centered at the origin.
1816 is the number of partitions of 44 into distinct parts.
1818 evenly divides the sum of its rotations.
1820 = 16C4.
1822 has a cube that contains only even digits.
1823 has a square with the first 3 digits the same as the next 3 digits.
1824 has a cube that contains only even digits.
1827 is a vampire number.
1828 is the 6th meandric number and the 11th open meandric number.
1830 is the number of ternary square-free words of length 19.
1834 is an octahedral number.
1835 is the number of Pyramorphix puzzle positions that require exactly 4 moves to solve.
1837 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.
1842 is the number of rooted trees with 11 vertices.
1847 is the number of 2×2×2 Rubik cube positions that require exactly 4 moves to solve.
1848 is the number of quaternary square-free words of length 7.
1849 is the smallest composite number all of whose divisors (except 1) contain the digit 4.
1854 is the number of derangements of 7 items.
1858 is the number of isomers of C14H30.
1860 is the number of ways to 12-color the faces of a tetrahedron.
1862 is the number of chess positions that can be reached in only one way after 2 moves by white and 1 move by black.
1865 = 12345 in base 6.
1870 is the product of two consecutive Fibonacci numbers.
1871 is a number n for which n, n+2, n+6, and n+8 are all prime.
1873 is a value of n for which one less than the product of the first n primes is prime.
1875 is the smallest order for which there are 21 groups.
1880 is a number whose sum of squares of the divisors is a square.
1885 is a Zeisel number.
1890 is the smallest number whose divisors contain every digit at least four times.
1891 is a triangular number that is the product of two primes.
1893 is the number of 3×3 sliding puzzle positions that require exactly 14 moves to solve starting with the hole in a corner.
1895 is a value of n for which n, 2n, 3n, 4n, 5n, and 6n all use the same number of digits in Roman numerals.
1897 is a Padovan number.
1900 is the largest palindrome in Roman numerals.
1902 has a cube that contains only even digits.
1905 is a Kaprekar constant in base 2.
1908 is the number of self-dual planar graphs with 22 edges.
1911 is a heptagonal pyramidal number.
1913 is prime and contains the same digits as the next prime.
1915 is the number of semigroups of order 5.
1917 is the number of possible configurations of pegs (up to symmetry) after 27 jumps in solitaire.
1920 is the smallest number that contains more different digits than its cube.
1925 is a hexagonal pyramidal number.
1933 is a prime factor of 111111111111111111111.
1936 is a hexanacci number.
1944 is a member of the Fibonacci-like multiplication series starting with 2 and 3.
1945 is the number of triangles of any size contained in the triangle of side 19 on a triangular grid.
1947 is the number of planar partitions of 16.
1950 = 144 + 145 + . . . + 156 = 157 + 158 + . . . + 168.
1951 is a Cuban prime.
1953 is a Kaprekar constant in base 2.
1957 is the number of permutations of some subset of 6 elements.
1958 is the number of partitions of 25.
1960 is the Stirling number of the first kind s(8,5).
1962 is a value of n for which 2n and 9n together use the digits 1-9 exactly once.
1963 7852 / 4, and this equation uses each digit 1-9 exactly once.
1964 is the number of legal knight moves in chess.
1969 is the only known counterexample to a conjecture about modular Ackermann functions.
1976 is the maximum number of regions space can be divided into by 19 spheres.
1979 has a sixth root whose decimal part starts with the digits 1-9 in some order.
1980 is the number of ways to fold a 2×4 rectangle of stamps.
1983 is a Perrin number.
1990 is a stella octangula number.
1997 is a prime factor of 87654321.
1998 is the largest number that is the sum of its digits and the cube of its digits.
2000 = 5555 in base 7.
2001 has a square with the first 3 digits the same as the next 3 digits.
2002 = 14C5.
2004 has a square with the last 3 digits the same as the 3 digits before that.
2008 is a Kaprekar constant in base 3.
2010 is the number of trees on 15 vertices with diameter 7.
2015 is the number of trees on 18 vertices with diameter 5.
2016 is a value of n for which n2 + n3 contains one of each digit.
2017 is a value of n for which φ(n) = φ(n-1) + φ(n-2).
2020 is a curious number.
2021 is the product of two consecutive primes.
2024 = 24C3.
2025 is a square that remains square if all its digits are incremented.
2027 is the largest known number n so that 7n - 6n is prime.
2030 is the smallest number that can be written as a sum of 3 or 4 consecutive squares.
2034 is the number of self-avoiding walks of length 9.
2038 is the number of Eulerian graphs with 9 vertices.
2041 is a 12-hyperperfect number.
2045 is the number of unlabeled partially ordered sets of 7 elements.
2046 is the maximum number of pieces a torus can be cut into with 22 cuts.
2047 is the smallest composite Mersenne number with prime exponent.
2048 is the smallest 11th power (besides 1).
2049 is a Cullen number.
2053 is a value of n for which one less than the product of the first n primes is prime.
2061 is the number of sets of distinct positive integers with mean 7.
2067 is a value of n so that n(n+5) is a palindrome.
2073 is a Genocchi number.
2078 has a cube whose digits occur with the same frequency.
2080 is the number of different arrangements (up to rotation and reflection) of 26 non-attacking bishops on a 14×14 chessboard.
2081 is a number n for which n, n+2, n+6, and n+8 are all prime.
2082 is the sum of its proper divisors that contain the digit 4.
2100 is divisible by its reverse.
2109 is a value of n so that n(n+7) is a palindrome.
2110 is a value of n for which reverse(φ(n)) = φ(reverse(n)).
2112 has a fifth root whose decimal part starts with the digits 1-9 in some order.
2114 is a number whose product of digits is equal to its sum of digits.
2116 has a base 10 representation which is the reverse of its base 7 representation.
2126 is a value of n so that n(n+3) is a palindrome.
2132 is the maximum number of 11th powers needed to sum to any number.
2133 is a 2-hyperperfect number.
2141 is a number whose product of digits is equal to its sum of digits.
2143 is the number of commutative semigroups of order 6.
2146 is a value of n for which 2φ(n) = φ(n+1).
2147 has a square with the last 3 digits the same as the 3 digits before that.
2150 divides the sum of the largest prime factors of the first 2150 positive integers.
2161 is a prime factor of 111111111111111111111111111111.
2164 is the smallest number whose 7th power starts with 5 identical digits.
2169 is a Leyland number.
2176 is the number of prime knots with 12 crossings.
2178 is the only number known which when multiplied by its reverse yields a 4th power.
2182 is the number of degree 15 irreducible polynomials over GF(2).
2184 is the product of three consecutive Fibonacci numbers.
2185 is the number of digits of 555.
2186 = 2222222 in base 3.
2187 is a strong Friedman number.
2188 is the 10th Motzkin number.
2194 is the number of partitions of 42 in which no part occurs only once.
2197 = 133.
2201 is the only non-palindrome known to have a palindromic cube.
2202 is a factor of the sum of the digits of 22022202.
2203 is the exponent of a Mersenne prime.
2207 is the 16th Lucas number.
2208 is a Keith number.
2210 = 47C2 + 47C2 + 47C1 + 47C0.
2213 = 23 + 23 + 133.
2217 has a base 2 representation that begins with its base 3 representation.
2219 is the number of 14-hexes with reflectional symmetry.
2222 is the smallest number divisible by a 1-digit prime, a 2-digit prime, and a 3-digit prime.
2223 is a Kaprekar number.
2226 is the number of ways to 6-color the faces of a cube.
2235 is a value of n so that n(n+8) is a palindrome.
2244 is a number whose square and cube use different digits.
2252 is a Franel number.
2255 is the number of triangles of any size contained in the triangle of side 20 on a triangular grid.
2257 = 4321 in base 8.
2260 is an icosahedral number.
2261 = 2222 + 22 + 6 + 11.
2263 = 2222 + 2 + 6 + 33.
2269 is a Cuban prime.
2272 is the number of graphs on 7 vertices with no isolated vertices.
2273 is the number of functional graphs on 10 vertices.
2274 is the sum of its proper divisors that contain the digit 7.
2275 is the sum of the first 6 4th powers.
2281 is the exponent of a Mersenne prime.
2285 is a non-palindrome with a palindromic square.
2295 is the number of self-dual binary codes of length 12.
2300 = 25C3.
2303 is a number whose square and cube use different digits.
2304 is the number of edges in a 9 dimensional hypercube.
2305 has a base 6 representation that ends with its base 8 representation.
2306 has a base 6 representation that ends with its base 8 representation.
2307 has a base 6 representation that ends with its base 8 representation.
2308 has a base 6 representation that ends with its base 8 representation.
2309 has a base 6 representation that ends with its base 8 representation.
2310 is the product of the first 5 primes.
2311 is a Euclid number.
2312 has a square with the first 3 digits the same as the next 3 digits.
2318 is the number of connected planar graphs with 10 edges.
2320 is the maximum number of regions space can be divided into by 20 spheres.
2322 is the number of connected graphs with 10 edges.
2323 is the maximum number of pieces a torus can be cut into with 23 cuts.
2325 is the maximum number of regions a cube can be cut into with 24 cuts.
2328 is the number of groups of order 128.
2331 is a centered cube number.
2333 is a right-truncatable prime.
2336 is the number of sided 11-iamonds.
2339 is the number of ways to tile a 6×10 rectangle with the pentominoes.
2340 = 4444 in base 8.
2343 = 33333 in base 5.
2345 has digits in arithmetic sequence.
2349 is a Friedman number.
2354 = 2222 + 33 + 55 + 44.
2357 is the concatenation of the first 4 primes.
2359 = 2222 + 33 + 5 + 99.
2360 is a hexagonal pyramidal number.
2368 is the number of 3×3 sliding puzzle positions that require exactly 14 moves to solve starting with the hole in the center.
2371 is the largest known number n so that 100n - 99n is prime.
2377 is a value of n for which one less than the product of the first n primes is prime.
2378 is the 10th Pell number.
2380 = 17C4.
2385 is the smallest number whose 7th power contains exactly the same digits as another 7th power.
2388 is the number of 3-connected graphs with 8 vertices.
2393 is a right-truncatable prime.
2394 is a value of n for which n and 7n together use each digit 1-9 exactly once.
2398 is the number of 3×3 sliding puzzle positions that require exactly 28 moves to solve starting with the hole in the center.
2399 is the largest known number n so that 67n - 66n is prime.
2400 = 6666 in base 7.
2401 is the 4th power of the sum of its digits.
2402 has a base 2 representation that begins with its base 7 representation.
2411 is a number whose product of digits is equal to its sum of digits.
2414 is the number of symmetric plane partitions of 28.
2417 has a base 3 representation that begins with its base 7 representation.
2420 is the number of possible rook moves on a 11×11 chessboard.
2427 = 21 + 42 + 23 + 74.
2431 is the product of 3 consecutive primes.
2434 is the number of legal king moves in chess.
2436 is the number of partitions of 26.
2437 is the smallest number which is not prime when preceded or followed by any digit 1-9.
2445 is a truncated tetrahedral number.
2448 is the order of a non-cyclic simple group.
2450 has a base 3 representation that begins with its base 7 representation.
2457 = 169 + 170 + . . . + 182 = 183 + 184 + . . . + 195.
2460 = 3333 in base 9.
2465 is a Carmichael number.
2466 is the number of regions formed when all diagonals are drawn in a regular 188-gon.
2467 has a square with the first 3 digits the same as the next 3 digits.
2468 has digits in arithmetic sequence.
2469 is a value of n for which 4n and 5n together use the digits 1-9 exactly once.
2470 is the sum of the first 19 squares.
2473 is the largest known number n so that 40n - 39n is prime.
2477 is the largest known number n so that 50n - 49n is prime.
2484 is the number of regions the complex plane is cut into by drawing lines between all pairs of 18th roots of unity.
2485 is the number of planar partitions of 13.
2491 is the product of two consecutive primes.
2498 is the number of lattice points that are within 1/2 of a sphere of radius 14 centered at the origin.
2499 is the number of connected planar Eulerian graphs with 10 vertices.
2500 is a tetranacci number.
2501 is a Friedman number.
2502 is a strong Friedman number.
2503 is a Friedman number.
2504 is a Friedman number.
2505 is a Friedman number.
2506 is a Friedman number.
2507 is a Friedman number.
2508 is a Friedman number.
2509 is a Friedman number.
2511 is the smallest number so that it and its successor are both the product of a prime and the 4th power of a prime.
2512 is the number of 3×3 sliding puzzle positions that require exactly 15 moves to solve starting with the hole in a corner.
2513 is a Padovan number.
2515 is the number of symmetric 9-cubes.
2517 is the number of regions the complex plane is cut into by drawing lines between all pairs of 17th roots of unity.
2518 uses the same digits as φ(2518).
2519 is the smallest number n where either n or n+1 is divisible by the numbers from 1 to 12.
2520 is the smallest number divisible by 1 through 10.
2524 and the two numbers before it and after it are all products of exactly 3 primes.
2525 and the two numbers before it and after it are all products of exactly 3 primes.
2530 is a Leyland number.
2531 is the largest known number n so that 10n - 9n is prime.
2532 = 2222 + 55 + 33 + 222.
2535 is the number of ways to 13-color the faces of a tetrahedron.
2538 has a square with 5/7 of the digits are the same.
2542 is the number of stretched 9-ominoes.
2549 is the largest known number n so that 54n - 53n is prime.
2550 is a Kaprekar constant in base 4.
2557 is the largest known number n so that 35n - 34n is prime.
2571 is the smallest number with the property that its first 7 multiples contain the digit 1.
2576 has exactly the same digits in 3 different bases.
2580 is a Keith number.
2584 is the 18th Fibonacci number .
2590 is the number of partitions of 47 into distinct parts.
2592 = 25 92.
2593 has a base 3 representation that ends with its base 6 representation.
2594 has a base 3 representation that ends with its base 6 representation.
2596 is the number of triangles of any size contained in the triangle of side 21 on a triangular grid.
2600 = 26C3.
2601 is a pentagonal pyramidal number.
2606 is the number of polyhedra with 9 vertices.
2609 is the number of perfect squared rectangles of order 15.
2615 is the number of functions from 9 unlabeled points to themselves.
2620 is an amicable number.
2621 = 2222 + 66 + 222 + 111.
2622 is a value of n for which 7n and 8n together use each digit exactly once.
2623 = 2222 + 66 + 2 + 333.
2624 is the maximum number of pieces a torus can be cut into with 24 cuts.
2626 is the maximum number of regions a cube can be cut into with 25 cuts.
2627 is a Perrin number.
2629 is the smallest number whose reciprocal has period 14.
2636 is a non-palindrome with a palindromic square.
2637 is a value of n for which n and 7n together use each digit 1-9 exactly once.
2646 is the Stirling number of the second kind S(9,6).
2651 is a stella octangula number.
2657 is a value of n for which one more than the product of the first n primes is prime.
2662 is a palindrome and the 2662nd triangular number is a palindrome.
2665 is the number of conjugacy classes in the automorphism group of the 14 dimensional hypercube.
2667 is a number whose sum of divisors is a 4th power.
2671 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.
2672 and its successor are both divisible by 4th powers.
2673 is the largest number known that does not have any digits in common with its 4th power.
2680 is the number of different arrangements of 11 non-attacking queens on an 11×11 chessboard.
2683 is the largest n so that Q(√n) has class number 5.
2685 is a value of n for which σ(n) = σ(n+1).
2694 is the number of ways 22 people around a round table can shake hands in a non-crossing way, up to rotation.
2697 is a value of n for which n and 5n together use each digit 1-9 exactly once.
2700 is the product of the first 5 triangular numbers.
2701 is the smallest number n which divides the average of the nth prime and the primes surrounding it.
2702 is the maximum number of regions space can be divided into by 21 spheres.
2704 is the number of necklaces with 9 white and 9 black beads.
2710 is an hexagonal prism number.
2718 is the integer part of 1000e.
2725 is the number of fixed octominoes.
2728 is a Kaprekar number.
2729 has a square with the first 3 digits the same as the next 3 digits.
2730 = 15P3.
2731 is a Wagstaff prime.
2736 is an octahedral number.
2737 is a strong Friedman number.
2741 is the largest known number n so that 94n - 93n is prime.
2744 = 143.
2745 divides the sum of the primes less than it.
2749 is the smallest index of a Fibonacci number whose first 9 digits are the digits 1-9 rearranged.
2753 is the number of subsequences of {1,2,3,...13} in which every odd number has an even neighbor.
2757 is the number of possible configurations of pegs (up to symmetry) after 7 jumps in solitaire.
2758 has the property that placing the last digit first gives 1 more than triple it.
2766 in hexadecimal spells the word ACE.
2769 is a value of n for which n and 5n together use each digit 1-9 exactly once.
2780 = 18 + 27 + 36 + 45 + 54 + 63 + 72 + 81.
2786 is the 9th Pell-Lucas number.
2791 is a Cuban prime.
2801 = 11111 in base 7.
2802 is the sum of its proper divisors that contain the digit 4.
2805 is the smallest order of a cyclotomic polynomial whose factorization contains 6 as a coefficient.
2812 is the number of 8-pents.
2817 uses the same digits as φ(2817).
2821 is a Carmichael number.
2828 is a value of n so that n(n+8) is a palindrome.
2835 is a Rhonda number.
2837 is the largest known number n so that 17n - 16n is prime.
2842 is the smallest number with the property that its first 4 multiples contain the digit 8.
2856 = 17!!!!!.
2857 is the number of partitions of 44 in which no part occurs only once.
2858 has a square with the first 3 digits the same as the next 3 digits.
2863 has a tenth root whose decimal part starts with the digits 1-9 in some order.
2868 has a 4th power containing only 4 different digits.
2870 is the sum of the first 20 squares.
2872 is the 15th tetranacci number.
2874 is the number of multigraphs with 5 vertices and 12 edges.
2876 is the number of 8-hepts.
2880 is the smallest number that can be written in the form (a2-1)(b2-1) in 3 ways.
2881 has a base 3 representation that ends with its base 6 representation.
2882 has a base 3 representation that ends with its base 6 representation.
2890 is the smallest number in base 9 whose square contains the same digits in the same proportion.
2893 is the number of planar 2-connected graphs with 8 vertices.
2900 is the number of self-avoiding walks in a quadrant of length 10.
2910 is the number of partitions of 48 into distinct parts.
2911 is a value of n for which σ(n-1) = σ(n+1).
2914 is a value of n for which σ(n-1) = σ(n+1).
2916 is a Friedman number.
2920 is a heptagonal pyramidal number.
2922 is the sum of its proper divisors that contain the digit 4.
2924 is an amicable number.
2925 = 27C3.
2928 is the number of partitions of 45 in which no part occurs only once.
2931 is the number of trees on 16 vertices with diameter 6.
2937 is a value of n for which n and 5n together use each digit 1-9 exactly once.
2938 is the number of binary rooted trees with 17 vertices.
2939 is a right-truncatable prime.
2947 is the smallest number whose 5th power starts with 4 identical digits.
2950 is the maximum number of pieces a torus can be cut into with 25 cuts.
2952 is the maximum number of regions a cube can be cut into with 26 cuts.
2955 has a 5th power whose digits all occur twice.
2967 is a value of n for which 5n and 7n together use each digit exactly once.
2968 is the number of ways to place 2 non-attacking kings on a 9×9 chessboard.
2970 is a harmonic divisor number.
2971 is the index of a prime Fibonacci number.
2973 is a value of n for which n and 5n together use each digit 1-9 exactly once.
2974 is a value of n for which σ(n) = σ(n+1).
2981 is the closest integer to e8.
2982 is a value of n so that n(n+7) is a palindrome.
2991 uses the same digits as φ(2991).
2996 = 2222 + 99 + 9 + 666.
2997 = 222 + 999 + 999 + 777.
2998 is a value of n so that n(n+3) is a palindrome.
2999 = 2 + 999 + 999 + 999.
3003 is the only number known to appear 8 times in Pascal's triangle.
3006 has a square with the last 3 digits the same as the 3 digits before that.
3008 is the number of symmetric plane partitions of 29.
3010 is the number of partitions of 27.
3012 is the sum of its proper divisors that contain the digit 5.
3015 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
3020 is the closest integer to π7.
3024 = 9P4.
3025 is the sum of the first 10 cubes.
3031 is the number of 7-kings.
3032 is the number of trees on 19 vertices with diameter 5.
3036 is the sum of its proper divisors that contain the digit 5.
3045 = 196 + 197 + . . . + 210 = 211 + 212 + . . . + 224.
3058 is the number of 7-digit triangular numbers.
3059 is a centered cube number.
3060 = 18C4.
3068 is the number of 10-ominoes that tile the plane.
3069 is a Kaprekar constant in base 2.
3070 is the number of paraffins with 9 carbon atoms.
3078 is a pentagonal pyramidal number.
3084 is the number of 3×3 sliding puzzle positions that require exactly 15 moves to solve starting with the hole in the center.
3094 = 21658 / 7, and each digit from 0-9 is contained in the equation exactly once.
3096 is the number of 3×3×3 sliding puzzle positions that require exactly 7 moves to solve.
3097 is the largest known number n with the property that in every base, there exists a number that is n times the sum of its digits.
3103 = 22C3 + 22C1 + 22C0 + 22C3.
3106 is both the sum of the digits of the 16th and the 17th Mersenne prime.
3109 is the largest known number n so that 91n - 90n is prime.
3110 = 22222 in base 6.
3114 has a square containing only 2 digits.
3119 is a right-truncatable prime.
3120 is the product of the first 6 Fibonacci numbers.
3124 = 44444 in base 5.
3125 is a strong Friedman number.
3126 is a Sierpinski Number of the First Kind.
3127 is the product of two consecutive primes.
3135 is the smallest order of a cyclotomic polynomial whose factorization contains 7 as a coefficient.
3136 is a square that remains square if all its digits are decremented.
3137 is the number of planar partitions of 17.
3141 is the integer part of 1000π.
3148 has a square with the first 3 digits the same as the next 3 digits.
3150 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
3156 is the sum of its proper divisors that contain the digit 5.
3159 is the number of trees with 14 vertices.
3160 is the largest known n for which 2n!/(n!)2 does not contain a prime factor less than 12.
3168 has a square whose reverse is also a square.
3169 is a Cuban prime.
3174 is the sum of its proper divisors that contain the digit 5.
3178 = 4321 in base 9.
3180 has a base 3 representation that ends with its base 5 representation.
3181 has a base 3 representation that ends with its base 5 representation.
3182 has a base 3 representation that ends with its base 5 representation.
3186 is a value of n for which 5n and 9n together use each digit exactly once.
3187 and its product with 8 contain every digit from 1-9 exactly once.
3190 is the number of Hamiltonian paths of a 3×9 rectangle graph.
3191 is the smallest number whose reciprocal has period 29.
3200 is the number of graceful permutations of length 13.
3210 is the smallest 4-digit number with decreasing digits.
3212 = 37 + 29 + 17 + 29.
3216 is the smallest number with the property that its first 6 multiples contain the digit 6.
3217 is the exponent of a Mersenne prime.
3225 is the number of symmetric 3×3 matrices in base 5 with determinant 0.
3229 is a value of n for which one more than the product of the first n primes is prime.
3240 is the number of 3×3×3 Rubik cube positions that require exactly 3 moves to solve.
3242 has a square with the first 3 digits the same as the next 3 digits.
3248 is the number of legal bishop moves in chess.
3249 is the smallest square that is comprised of two squares that overlap in one digit.
3251 is a number n for which n, n+2, n+6, and n+8 are all prime.
3254 = 33 + 2222 + 555 + 444.
3259 = 33 + 2222 + 5 + 999.
3264 is the number of partitions of 49 into distinct parts.
3267 = 12345 in base 7.
3276 = 28C3.
3280 = 11111111 in base 3.
3281 is the sum of consecutive squares in 2 ways.
3282 is the sum of its proper divisors that contain the digit 4.
3283 is the number of 3×3 sliding puzzle positions that require exactly 15 moves to solve starting with the hole on a side.
3294 is a value of n for which 6n and 7n together use each digit exactly once.
3297 is a value of n for which 5n and 7n together use each digit exactly once.
3300 is the number of non-isomorphic groupoids on 4 elements.
3301 is a value of n for which the nth Fibonacci number begins with the digits in n.
3302 is the maximum number of pieces a torus can be cut into with 26 cuts.
3304 is the maximum number of regions a cube can be cut into with 27 cuts.
3305 is a value of n for which σ(n-1) = σ(n+1).
3311 is the sum of the first 21 squares.
3313 is the smallest prime number where every digit d occurs d times.
3318 has exactly the same digits in 3 different bases.
3320 has a base 4 representation that ends with 3320.
3321 has a base 4 representation that ends with 3321.
3322 has a base 4 representation that ends with 3322.
3323 has a base 4 representation that ends with 3323.
3329 is a Padovan number.
3331 is the largest known number n so that 53n - 52n is prime.
3333 is a repdigit.
3334 is the number of 12-iamonds.
3338 is the number of lattice points that are within 1/2 of a sphere of radius 16 centered at the origin.
3340 = 3333 + 3 + 4 + 0.
3341 = 3333 + 3 + 4 + 1.
3342 = 3333 + 3 + 4 + 2.
3343 = 3333 + 3 + 4 + 3.
3344 = 3333 + 3 + 4 + 4.
3345 = 3333 + 3 + 4 + 5.
3346 = 3333 + 3 + 4 + 6.
3347 = 3333 + 3 + 4 + 7.
3348 = 3333 + 3 + 4 + 8.
3349 = 3333 + 3 + 4 + 9.
3360 = 16P3.
3367 is the smallest number which can be written as the difference of 2 cubes in 3 ways.
3368 is the number of ways that 8 non-attacking bishops can be placed on a 5×5 chessboard.
3369 is a Kaprekar constant in base 4.
3375 is a Friedman number.
3378 is a Friedman number.
3379 is a number whose square and cube use different digits.
3381 is the number of ways to 14-color the faces of a tetrahedron.
3382 is a value of n for which 2φ(n) = φ(n+1).
3400 is a truncated tetrahedral number.
3402 can be written as the sum of 2, 3, 4, or 5 cubes.
3403 is a triangular number that is the product of two primes.
3413 = 11 + 22 + 33 + 44 + 55.
3417 is a hexagonal pyramidal number.
3420 is the order of a non-cyclic simple group.
3432 is the 7th central binomial coefficient.
3435 = 33 + 44 + 33 + 55.
3439 is a rhombic dodecahedral number.
3444 is a stella octangula number.
3447 is a value of n for which 2n and 5n together use the digits 1-9 exactly once.
3456 has digits in arithmetic sequence.
3461 is a number n for which n, n+2, n+6, and n+8 are all prime.
3465 = 15!!!!.
3468 = 682 - 342.
3476 is a value of n for which n!! - 1 is prime.
3480 is a Perrin number.
3486 has a square that is formed by 3 squares that overlap by 1 digit.
3489 is the smallest number whose square has the first 3 digits the same as the last 3 digits.
3492 is the number of labeled semigroups of order 4.
3501 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
3510 = 6666 in base 8.
3511 is the largest known Wieferich prime.
3521 = 3333 + 55 + 22 + 111.
3522 is the sum of its proper divisors that contain the digit 7.
3525 is a Pentanacci number.
3527 is the number of ways to fold a strip of 10 stamps.
3531 is a value of n for which φ(n) = φ(n-2) - φ(n-1).
3536 is a heptagonal pyramidal number.
3541 is the smallest number whose reciprocal has period 20.
3543 has a cube containing only 3 different digits.
3571 is the 17th Lucas number.
3577 is a Kaprekar constant in base 2.
3579 has digits in arithmetic sequence.
3584 is not the sum of 4 non-zero squares.
3588 is the maximum number of regions space can be divided into by 23 spheres.
3599 is the product of twin primes.
3600 is a value of n for which n, 2n, 3n, 4n, 5n, 6n, and 7n all use the same number of digits in Roman numerals.
3607 is a prime factor of 123456789.
3610 is a pentagonal pyramidal number.
3624 is the smallest number n where n through n+3 are all products of 4 or more primes.
3630 appears inside its 4th power.
3635 has a square with the first 3 digits the same as the next 3 digits.
3640 = 13!!!.
3641 is an hexagonal prism number.
3645 is the maximum determinant of a 12×12 matrix of 0's and 1's.
3654 = 29C3.
3655 is the sum of consecutive squares in 2 ways.
3658 is the number of partitions of 50 into distinct parts.
3671 is the number of 9-abolos.
3678 has a square comprised of the digits 1-8.
3681 is the maximum number of pieces a torus can be cut into with 27 cuts.
3683 is the maximum number of regions a cube can be cut into with 28 cuts.
3684 is a Keith number.
3685 is a strong Friedman number.
3697 is the smallest number in base 6 whose square contains the same digits in the same proportion.
3698 has a square comprised of the digits 0-7.
3709 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.
3711 is the number of multigraphs with 6 vertices and 10 edges.
3718 is the number of partitions of 28.
3720 = 225 + 226 + . . . + 240 = 241 + 242 + . . . + 255.
3721 is the number of partitions of 46 in which no part occurs only once.
3722 is the number of lattice points that are within 1/2 of a sphere of radius 17 centered at the origin.
3729 is a value of n for which n and 5n together use each digit 1-9 exactly once.
3733 is a right-truncatable prime.
3739 is a right-truncatable prime.
3740 is the sum of consecutive squares in 2 ways.
3743 is the number of polyaboloes with 9 half squares.
3745 has a square with the last 3 digits the same as the 3 digits before that.
3747 is the smallest number whose 9th power contains exactly the same digits as another 9th power.
3761 is the first year of the modern Hebrew calendar.
3763 is the largest n so that Q(√n) has class number 6.
3771 is a value of n for which 4n and 7n together use each digit exactly once.
3784 has a factorization using the same digits as itself.
3786 = 34 + 74 + 8 + 64.
3791 is the number of symmetric plane partitions of 30.
3792 occurs in the middle of its square.
3793 is a right-truncatable prime.
3795 is the sum of the first 22 squares.
3797 is the largest known number n so that 14n - 13n is prime.
3798 is a value of n for which 2n and 9n together use the digits 1-9 exactly once.
3803 is the largest prime factor of 123456789.
3807 and its successor are both divisible by 4th powers.
3810 is the number of ways to place a non-attacking white and black pawn on a 9×9 chessboard.
3813 is the number of partitions of 47 in which no part occurs only once.
3822 is the number of triangles of any size contained in the triangle of side 24 on a triangular grid.
3825 is a Kaprekar constant in base 2.
3832 is the number of fixed 6-kings.
3836 is the maximum number of inversions in a permutation of length 7.
3840 = 10!!
3843 is a value of n for which 7n and 9n together use each digit exactly once.
3846 is the number of Hamiltonian cycles of a 4×11 rectangle graph.
3849 has a square with the first 3 digits the same as the next 3 digits.
3861 is the smallest number whose 4th power starts with 5 identical digits.
3864 is a strong Friedman number.
3873 is a Kaprekar constant in base 4.
3876 = 19C4.
3882 is the sum of its proper divisors that contain the digit 4.
3894 is an octahedral number.
3900 has a base 2 representation that is two copies of its base 5 representation concatenated.
3901 has a base 2 representation that ends with its base 5 representation.
3906 = 111111 in base 5.
3907 = 15628 / 4, and each digit from 0-9 is contained in the equation exactly once.
3910 is the number of 3×3 sliding puzzle positions that require exactly 28 moves to solve starting with the hole in a corner.
3911 and its reverse are prime, even if we append or prepend a 3 or 9.
3912 is a value of n for which 5n and 7n together use each digit exactly once.
3919 is the largest known number n so that 37n - 36n is prime.
3920 = (5+3)(5+9)(5+2)(5+0).
3925 is a centered cube number.
3926 is the 12th open meandric number.
3927 has an eighth root whose decimal part starts with the digits 1-9 in some order.
3937 is a Kaprekar constant in base 2.
3942 is a value of n for which n and 4n together use each digit 1-9 exactly once.
3956 is the number of conjugacy classes in the automorphism group of the 15 dimensional hypercube.
3967 is the smallest number whose 12th power contains exactly the same digits as another 12th power.
3968 and its successor are both divisible by 4th powers.
3969 is a Kaprekar constant in base 2.
3972 is a strong Friedman number.
3977 has its largest proper divisor as a substring.
3984 is a heptanacci number.
3985 = 3333 + 9 + 88 + 555.
4000 has a cube that contains only even digits.
4002 has a square with the first 3 digits the same as the next 3 digits.
4006 = 14C4 + 14C0 + 14C0 + 14C6.
4008 has a square with the last 3 digits the same as the 3 digits before that.
4013 is a prime factor of 1111111111111111111111111111111111.
4029 is the number of regions formed when all diagonals are drawn in a regular 19-gon.
4030 is an abundant number that is not the sum of some subset of its divisors.
4032 is the number of connected bipartite graphs with 10 vertices.
4047 is a hexagonal pyramidal number.
4048 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
4051 is the number of partitions of 6 items into ordered lists.
4056 is the number of possible rook moves on a 13×13 chessboard.
4060 = 30C3.
4062 is the smallest number with the property that its first 8 multiples contain the digit 2.
4080 = 17P3.
4087 is the product of two consecutive primes.
4088 is the maximum number of pieces a torus can be cut into with 28 cuts.
4090 is the maximum number of regions a cube can be cut into with 29 cuts.
4093 = 28651 / 7, and each digit from 0-9 is contained in the equation exactly once.
4095 = 111111111111 in base 2.
4096 is the smallest number with 13 divisors.
4097 is the smallest number (besides 2) that can be written as the sum of two cubes or the sum of two 4th powers.
4099 has a square with the last 3 digits the same as the 3 digits before that.
4100 = 5555 in base 9.
4104 can be written as the sum of 2 cubes in 2 ways.
4106 is a Friedman number.
4112 is a number whose product of digits is equal to its sum of digits.
4121 is a number whose product of digits is equal to its sum of digits.
4128 is the smallest number with the property that its first 10 multiples contain the digit 2.
4140 is the 8th Bell number.
4149 is a value of n for which σ(n-1) = σ(n+1).
4150 = 45 + 15 + 55 + 05.
4151 = 45 + 15 + 55 + 15.
4152 = 45 + 15 + 55 + 2.
4153 = 45 + 15 + 55 + 3.
4154 = 45 + 15 + 55 + 4.
4155 = 45 + 15 + 55 + 5.
4156 = 45 + 15 + 55 + 6.
4157 = 45 + 15 + 55 + 7.
4158 = 45 + 15 + 55 + 8.
4159 = 45 + 15 + 55 + 9.
4160 = 43 + 163 + 03.
4161 = 43 + 163 + 13.
4167 is a Friedman number.
4170 is the number of lattice points that are within 1/2 of a sphere of radius 18 centered at the origin.
4175 has a square comprised of the digits 0-7.
4176 has an eighth root whose decimal part starts with the digits 1-9 in some order.
4181 is the first composite number in the Fibonacci sequence with a prime index.
4186 is a hexagonal, 13-gonal, triangular number.
4187 is the smallest Rabin-Miller pseudoprime with an odd reciprocal period.
4188 is a value of n for which σ(n-1) = σ(n+1).
4193 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole on a side.
4199 is the product of 3 consecutive primes.
4200 is divisible by its reverse.
4204 and the two numbers before it and after it are all products of exactly 3 primes.
4207 is the number of cubic graphs with 16 vertices.
4211 is a number whose product of digits is equal to its sum of digits.
4216 is an octagonal pyramidal number.
4219 is a Cuban prime.
4223 is the maximum number of 12th powers needed to sum to any number.
4224 is a palindrome that is one less than a square.
4225 is the smallest number that can be written as the sum of two squares in 12 ways.
4231 is the number of labeled partially ordered sets with 5 elements.
4233 is a heptagonal pyramidal number.
4240 is a Leyland number.
4243 = 444 + 22 + 444 + 3333.
4146 is the number of ternary square-free words of length 22.
4253 is the exponent of a Mersenne prime.
4264 is a number whose sum of squares of the divisors is a square.
4279 is the smallest semiprime super-catalan number..
4293 has exactly the same digits in 3 different bases.
4297 is a value of n for which one less than the product of the first n primes is prime.
4303 is the number of triangles of any size contained in the triangle of side 25 on a triangular grid.
4305 has exactly the same digits in 3 different bases.
4310 has exactly the same digits in 3 different bases.
4312 is the smallest number whose 10th power starts with 7 identical digits.
4320 = (6+4)(6+3)(6+2)(6+0).
4321 has digits in arithmetic sequence.
4324 is the sum of the first 23 squares.
4332 = 444 + 3333 + 333 + 222.
4335 = 444 + 3333 + 3 + 555.
4336 = 4 + 3333 + 333 + 666.
4337 is a value of n for which φ(n) = φ(n-1) + φ(n-2).
4339 = 4 + 3333 + 3 + 999.
4340 is the number of 3×3 sliding puzzle positions that require exactly 27 moves to solve starting with the hole in the center.
4342 appears inside its 4th power.
4343 divides the sum of the largest prime factors of the first 4343 positive integers.
4347 is a value of n for which 2n and 5n together use the digits 1-9 exactly once.
4349 is the largest known number n so that 46n - 45n is prime.
4352 has a cube that contains only even digits.
4356 is two thirds of its reverse.
4357 is the smallest number with the property that its first 5 multiples contain the digit 7.
4358 is the number of lattice points that are within 1/2 of a sphere of radius 19 centered at the origin.
4364 is a value of n for which σ(n) = sigma;(n+1).
4365 is a value of n for which 4n and 9n together use each digit exactly once.
4368 = 16C5.
4374 and its successor are both divisible by 4th powers.
4381 is a stella octangula number.
4392 is a value of n for which n and 4n together use each digit 1-9 exactly once.
4396 = (157)(28) and each digit is contained in the equation exactly once.
4409 is prime, but changing any digit makes it composite.
4410 is a Padovan number.
4418 is the number of 7-nons.
4423 is the exponent of a Mersenne prime.
4425 is the sum of the first 5 5th powers.
4434 is the sum of its proper divisors that contain the digit 7.
4435 uses the same digits as φ(4435).
4438 is the number of 15-hexes with reflectional symmetry.
4444 is a repdigit.
4445 is the smallest number that can be written as the sum of 4 distinct positive cubes in 4 ways.
4447 is the largest known number n so that 66n - 65n is prime.
4463 is the largest known number n so that 12n - 11n is prime.
4480 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
4485 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole in a corner.
4488 = 256 + 257 + . . . + 272 = 273 + 274 + . . . + 288.
4489 is a square whose digits are non-decreasing.
4495 = 31C3.
4498 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
4500 is the number of regions formed when all diagonals are drawn in a regular 20-gon.
4503 is the largest number that is not the sum of 4 or fewer squares of composites.
4505 is a Zeisel number.
4506 is the sum of its proper divisors that contain the digit 5.
4507 is the largest known number n so that 57n - 56n is prime.
4510 = 4444 + 55 + 11 + 0.
4511 = 4444 + 55 + 11 + 1.
4512 = 4444 + 55 + 11 + 2.
4513 = 4444 + 55 + 11 + 3.
4514 = 4444 + 55 + 11 + 4.
4515 = 4444 + 55 + 11 + 5.
4516 = 4444 + 55 + 11 + 6.
4517 = 4444 + 55 + 11 + 7.
4518 = 4444 + 55 + 11 + 8.
4519 = 4444 + 55 + 11 + 9.
4520 is the number of regions the complex plane is cut into by drawing lines between all pairs of 20th roots of unity.
4523 has a square in base 2 that is palindromic.
4524 is the maximum number of pieces a torus can be cut into with 29 cuts.
4526 is the maximum number of regions a cube can be cut into with 30 cuts.
4527 is a value of n for which n and 7n together use each digit 1-9 exactly once.
4535 is the number of unlabeled topologies with 7 elements.
4536 is the Stirling number of the first kind s(9,6).
4541 has a square with the first 3 digits the same as the next 3 digits.
4542 is the number of trees on 20 vertices with diameter 5.
4547 is a value of n for which one more than the product of the first n primes is prime.
4548 is the sum of its proper divisors that contain the digit 7.
4550 is a value of n for which 2φ(n) = φ(n+1).
4552 has a square with the first 3 digits the same as the next 3 digits.
4565 is the number of partitions of 29.
4567 has digits in arithmetic sequence.
4576 is a truncated tetrahedral number.
4579 is an octahedral number.
4582 is the number of partitions of 52 into distinct parts.
4583 is a value of n for which one less than the product of the first n primes is prime.
4589 is the index of a Fibonacci number whose first 9 digits are the digits 1-9 rearranged.
4607 is a Woodall number.
4608 is the number of ways to place 2 non-attacking kings on a 10×10 chessboard.
4609 is a Cullen number.
4610 is a Perrin number.
4613 is the number of graphs with 10 edges.
4616 has a square comprised of the digits 0-7.
4619 is a value of n for which 4n and 5n together use each digit exactly once.
4620 is the largest order of a permutation of 30 or 31 elements.
4624 = 44 + 46 + 42 + 44.
4625 is the number of trees on 16 vertices with diameter 7.
4628 is a Friedman number.
4641 is a rhombic dodecahedral number.
4644 is a value of n for which 7n and 9n together use each digit exactly once.
4649 is the largest prime factor of 1111111.
4650 is the maximum number of regions space can be divided into by 25 spheres.
4655 is the number of 10-ominoes.
4657 is a number that does not have any digits in common with its cube.
4663 is the number of 12-ominoes that contain holes.
4665 = 33333 in base 6.
4676 is the sum of the first 7 4th powers.
4681 = 11111 in base 8.
4683 is the number of orderings of 6 objects with ties allowed.
4705 is the sum of consecutive squares in 2 ways.
4709 is the number of symmetric plane partitions of 31.
4713 is a value of n such that the nth Cullen number is prime.
4723 is the index of a prime Fibonacci number.
4730 is the number of multigraphs with 5 vertices and 13 edges.
4732 is a number that does not have any digits in common with its cube.
4734 is the sum of its proper divisors that contain the digit 7.
4735 is a value of n for which 4n and 5n together use each digit exactly once.
4741 is a value of n for which 4n and 5n together use each digit exactly once.
4743 is a value of n for which 2n and 5n together use the digits 1-9 exactly once.
4750 is a hexagonal pyramidal number.
4752 = (4+4)(4+7)(4+5)(4+2).
4755 has a cube whose digits occur with the same frequency.
4757 is the product of two consecutive primes.
4760 is the sum of consecutive squares in 2 ways.
4762 is the smallest number not a power of 10 whose square contains the same digits.
4764 is an hexagonal prism number.
4766 is the number of rooted trees with 12 vertices.
4769 is a value of n for which 4n and 5n together use each digit exactly once.
4787 is a value of n for which one more than the product of the first n primes is prime.
4788 is a Keith number.
4793 = 4444 + 7 + 9 + 333.
4802 is the number of trees on 16 vertices with diameter 8.
4804 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals.
4807 is the smallest quasi-Carmichael number in base 10.
4819 is a tetranacci number.
4823 is the number of triangles of any size contained in the triangle of side 26 on a triangular grid.
4832 is a number whose square contains the same digits.
4845 = 20C4.
4848 is the number of quaternary square-free words of length 8.
4851 is a pentagonal pyramidal number.
4862 is the 9th Catalan number.
4863 is the smallest number that cannot be written as the sum of 273 8th powers.
4866 is the number of partitions of 48 in which no part occurs only once.
4869 is a value of n for which 3n and 8n together use each digit exactly once.
4877 is the largest prime factor of 87654321.
4890 is the sum of the first 4 6th powers.
4893 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.
4895 is the product of two consecutive Fibonacci numbers.
4896 = 18P3.
4900 is the only number which is both square and square pyramidal (besides 1).
4901 has a base 3 representation that begins with its base 7 representation.
4913 is the cube of the sum of its digits.
4919 is the largest known number n so that 71n - 70n is prime.
4920 = 6666 in base 9.
4923 and the two numbers before it and after it are all products of exactly 3 primes.
4924 and the two numbers before it and after it are all products of exactly 3 primes.
4927 is a value of n for which 4n and 5n together use each digit exactly once.
4931 is a value of n for which 2n and 7n together use the digits 1-9 exactly once.
4941 is a centered cube number.
4960 = 32C3.
4967 is the number of partitions of 49 in which no part occurs only once.
4974 is the sum of its proper divisors that contain the digit 8.
4990 is the maximum number of pieces a torus can be cut into with 30 cuts.
4992 is the maximum number of regions a cube can be cut into with 31 cuts.
5000 is the largest number whose English name does not repeat any letters.
5001 appears inside its 4th power.
5002 has a 4th power containing only 4 different digits.
5005 is the smallest palindromic product of 4 consecutive primes.
5010 has a square with the last 3 digits the same as the 3 digits before that.
5016 is a heptagonal pyramidal number.
5020 is an amicable number.
5034 is the number of lattice points that are within 1/2 of a sphere of radius 20 centered at the origin.
5036 and the two numbers before it and after it are all products of exactly 3 primes.
5039 is the number of planar partitions of 18.
5040 = 7!
5041 is the largest square known of the form n! + 1.
5044 is a value of n for which φ(n) and σ(n) are square.
5049 is an octagonal pyramidal number.
5050 is the sum of the first 100 integers.
5054 = 555 + 0 + 55 + 4444.
5055 has exactly the same digits in 3 different bases.
5083 is an icosahedral number.
5087 has an eleventh root whose decimal part starts with the digits 1-9 in some order.
5096 is the number of possible rook moves on a 14×14 chessboard.
5100 is divisible by its reverse.
5103 and its successor are both divisible by 4th powers.
5104 is the smallest number that can be written as the sum of 3 cubes in 3 ways.
5120 is the number of edges in a 10 dimensional hypercube.
5130 is a value of n for which φ(n) and σ(n) are square.
5141 is the only four digit number that is reversed in hexadecimal.
5142 is the sum of its proper divisors that contain the digit 7.
5143 = 555 + 111 + 4444 + 33.
5146 has a base 3 representation that begins with its base 7 representation.
5152 is the number of legal rook moves in chess.
5160 = 5! + (1+6)! + 0.
5161 = 5! + (1+6)! + 1!
5162 = 5! + (1+6)! + 2.
5163 = 5! + (1+6)! + 3.
5164 = 5! + (1+6)! + 4.
5165 = 5! + (1+6)! + 5.
5166 = 5! + (1+6)! + 6.
5167 = 5! + (1+6)! + 7.
5168 has a square root that has 4 8's immediately after the decimal point.
5169 = 5! + (1+6)! + 9.
5174 has a 4th power containing only 4 different digits.
5183 is the product of twin primes.
5187 is the only number n known for which φ(n-1) = φ(n) = φ(n+1).
5200 is divisible by its reverse.
5211 has a square root whose decimal part starts with the digits 1-9 in some order.
5229 uses the same digits as φ(5229).
5244 is the sum of consecutive squares in 2 ways.
5252 is the maximum number of regions space can be divided into by 26 spheres.
5256 can be written as the sum of 2, 3, 4, or 5 cubes.
5258 has a base 8 representation which is the reverse of its base 7 representation.
5265 is a Rhonda number.
5269 is the number of binary rooted trees with 18 vertices.
5271 is a value of n for which 2n and 7n together use each digit exactly once.
5274 is the sum of its proper divisors that contain the digit 7.
5282 is the number of different arrangements (up to rotation and reflection) of 8 non-attacking rooks on a 8×8 chessboard.
5284 and the two numbers before it and after it are all products of exactly 3 primes.
5292 is a Kaprekar number.
5306 is the smallest number whose 9th power starts with 4 identical digits.
5312 is the index of a prime Woodall number.
5327 is a value of n for which 2n and 7n together use each digit exactly once.
5332 is a Kaprekar constant in base 3.
5340 is an octahedral number.
5346 = (198)(27) and each digit is contained in the equation exactly once.
5349 = 12345 in base 8.
5355 = 289 + 290 + . . . + 306 = 307 + 308 + . . . + 323.
5364 is a value of n for which 3n and 7n together use each digit exactly once.
5367 uses the same digits as φ(5367).
5383 is the number of triangles of any size contained in the triangle of side 27 on a triangular grid.
5387 is the largest known number n so that 23n - 22n is prime.
5390 is the number of ways to 7-color the faces of a cube.
5392 is a Leyland number.
5399 has a cube whose digits occur with the same frequency.
5400 is divisible by its reverse.
5412 is a value of n so that n(n+4) is a palindrome.
5418 is a value of n for which n and 7n together use each digit 1-9 exactly once.
5419 is the largest known number n so that 33n - 32n is prime.
5432 has digits in arithmetic sequence.
5434 is the sum of consecutive squares in 2 ways.
5439 is a Rhonda number.
5456 and its reverse are tetrahedral numbers.
5460 is the largest order of a permutation of 32 or 33 elements.
5472 has a base 3 representation that ends with its base 4 representation.
5473 has a base 3 representation that ends with its base 4 representation.
5474 is a stella octangula number.
5477 and its reverse are both one more than a square.
5482 is the number of 3×3 sliding puzzle positions that require exactly 16 moves to solve starting with the hole in the center.
5487 is the maximum number of pieces a torus can be cut into with 31 cuts.
5489 is the maximum number of regions a cube can be cut into with 32 cuts.
5501 is the largest known number n so that 93n - 92n is prime.
5509 is the number of multigraphs with 8 vertices and 9 edges.
5513 is the number of self-avoiding walks of length 10.
5525 is the smallest number that can be written as the sum of 2 squares in 6 ways.
5530 is a hexagonal pyramidal number.
5536 is the 16th tetranacci number.
5551 is the number of trees on 17 vertices with diameter 6.
5555 is a repdigit.
5564 is an amicable number.
5566 is a pentagonal pyramidal number.
5600 is the number of self-complementary graphs with 13 vertices.
5602 = 22222 in base 7.
5604 is the number of partitions of 30.
5610 is divisible by its reverse.
5616 is the order of a non-cyclic simple group.
5620 is the smallest composite number which remains composite when preceded or followed by any digit.
5637 uses the same digits as φ(5637).
5638 is the number of 3×3 sliding puzzle positions that require exactly 17 moves to solve starting with the hole in a corner.
5651 is a number n for which n, n+2, n+6, and n+8 are all prime.
5664 is a Rhonda number.
5670 is a value of n for which φ(n) and σ(n) are square.
5671 is a triangular number that is the product of two primes.
5673 is the smallest number whose 6th power starts with 5 identical digits.
5678 has digits in arithmetic sequence.
5682 is the sum of its proper divisors that contain the digit 4.
5692 is a number that does not have any digits in common with its cube.
5693 = 5555 + 6 + 99 + 33.
5694 = 17082 / 3, and each digit from 0-9 is contained in the equation exactly once.
5696 is the number of ways to 16-color the faces of a tetrahedron.
5698 is the smallest number whose 8th power starts with 5 identical digits.
5700 is divisible by its reverse.
5714 is the number of lattice points that are within 1/2 of a sphere of radius 21 centered at the origin.
5718 is the number of partitions of 54 into distinct parts.
5719 is a Zeisel number.
5723 has the property that its square starts with its reverse.
5739 is a value of n for which 5n and 7n together use each digit exactly once.
5740 = 7777 in base 9.
5741 is the 11th Pell number.
5742 is a value of n for which 5n and 8n together use each digit exactly once.
5749 is the largest known number n so that 78n - 77n is prime.
5767 is the product of two consecutive primes.
5768 is the 16th tribonacci number.
5770 is a value of n for which φ(n) and σ(n) are square.
5775 is a betrothed number.
5776 is the square of the last half of its digits.
5777 is the smallest number (besides 1) which is not the sum of a prime and twice a square.
5778 is the largest Lucas number which is also a triangular number.
5784 = 555 + 777 + 8 + 4444.
5786 = 5555 + 77 + 88 + 66.
5795 is a value of n such that the nth Cullen number is prime.
5796 = (138)(42) and each digit is contained in the equation exactly once.
5798 is the 11th Motzkin number.
5814 = 19P3.
5817 = 34902 / 6, and each digit from 0-9 is contained in the equation exactly once.
5822 is the number of conjugacy classes in the automorphism group of the 16 dimensional hypercube.
5823 and its triple contain every digit from 1-9 exactly once.
5824 can be written as the difference between two positive cubes in more than one way.
5830 is an abundant number that is not the sum of some subset of its divisors.
5832 is the cube of the sum of its digits.
5842 is a Padovan number.
5851 is the only prime so that it, its square, and its cube all have the same sum of digits.
5857 is the largest known number n so that 51n - 50n is prime.
5859 can be written as the difference between two positive cubes in more than one way.
5872 = 5555 + 88 + 7 + 222.
5877 is a value of n for which 5n and 8n, or 8n and 9n, together use each digit exactly once.
5880 is the Stirling number of the second kind S(10,7).
5886 is a value of n for which 3n and 5n together use each digit exactly once.
5890 is a heptagonal pyramidal number.
5904 has a square comprised of the digits 1-8.
5906 is the smallest number which is the sum of 2 rational 4th powers but is not the sum of two integer 4th powers.
5909 is the number of symmetric plane partitions of 32.
5913 = 1! + 2! + 3! + 4! + 5! + 6! + 7!
5914 = 0! + 1! + 2! + 3! + 4! + 5! + 6! + 7!
5915 is the sum of consecutive squares in 2 ways.
5923 is the largest n so that Q(√n) has class number 7.
5929 is a square which is also the sum of 11 consecutive squares.
5934 is a value of n for which 5n and 7n together use each digit exactly once.
5939 is the largest known number n so that 77n - 76n is prime.
5940 is divisible by its reverse.
5943 is a value of n for which n, n+1, n+2, and n+3 have the same number of divisors.
5963 = 5555 + 9 + 66 + 333.
5967 is a value of n for which 6n and 7n together use each digit exactly once.
5968 has a square which uses the digits 0-7 each exactly once.
5972 is the smallest number that appears in its factorial 8 times.
5974 is the number of connected planar graphs with 8 vertices.
5976 is a value of n for which n and 7n together use each digit 1-9 exactly once.
5982 is the number of lattice points that are within 1/2 of a sphere of radius 22 centered at the origin.
5984 = 34C3.
5985 = 21C4.
5986 and its prime factors contain every digit from 1-9 exactly once.
5993 is the largest number known which is not the sum of a prime and twice a square.
5994 is the number of lattices on 10 unlabeled nodes.
5995 is a palindromic triangular number.
5996 is a truncated tetrahedral number.
6001 has a cube that is a concatenation of other cubes.
6003 has a square with the first 3 digits the same as the next 3 digits.
6006 is the smallest palindrome with 5 different prime factors.
6008 = 14C6 + 14C0 + 14C0 + 14C8.
6012 has a square with the last 3 digits the same as the 3 digits before that.
6014 has a square that is formed by 3 squares that overlap by 1 digit.
6016 is the maximum number of pieces a torus can be cut into with 32 cuts.
6018 is the maximum number of regions a cube can be cut into with 33 cuts.
6020 is the number of Hamiltonian graphs with 8 vertices.
6021 has a square that is formed by 3 squares that overlap by 1 digit.
6048 is the order of a non-cyclic simple group.
6058 is a number that does not have any digits in common with its cube.
6072 is the order of a non-cyclic simple group.
6077 has a square with the last 3 digits the same as the 3 digits before that.
6084 is the sum of the first 12 cubes.
6093 is a value of n for which 3n and 5n together use each digit exactly once.
6095 is a rhombic dodecahedral number.
6097 is an hexagonal prism number.
6099 concatenated with its successor is square.
6102 is the largest number n known where φ(n) is the the reverse of n.
6106 is a value of n for which 2φ(n) = φ(n+1).
6107 is a Perrin number.
6111 is a value of n for which σ(n-1) = σ(n+1).
6119 is a centered cube number.
6128 is a betrothed number.
6133 is the largest known number n so that 80n - 79n is prime.
6141 is a Kaprekar constant in base 2.
6144 = 16!!!!.
6145 is a Friedman number.
6163 is the largest known number n so that 62n - 61n is prime.
6174 is the Kaprekar constant for 4-digit numbers.
6175 is the number of regions formed when all diagonals are drawn in a regular 21-gon.
6176 is the last 4-digit sequence to appear in the decimal expansion of π.
6179 is a value of n for which 4n and 5n together use each digit exactly once.
6181 is an octahedral number.
6188 = 17C5.<br