Properties of the Number 56712

Fifty-Six Thousand Seven Hundred Twelve

Basics

Value: 56711 → 56712 → 56713

Parity: even

Prime: No

Previous Prime: 56711

Next Prime: 56713

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 17 × 139

Divisors: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110110001000

Octal: 156610

Duodecimal: 289A0

Hexadecimal: dd88

Square: 3216250944

Square Root: 238.14281429428016

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Array read by antidiagonals: A(n,k) is the number of nonequivalent binary matrices with k columns and any number of nonzero rows with n ones in every column up to permutation of rows and columns. A331461

Number of n-rowed binary matrices with all row sums 5, up to row and column permutation; bipartite graphs with all nodes of degree 5 in a distinguished bipartite n-block, up to isomorphism. A58784

Triangle read by rows: T(n,m) is the number of inequivalent n X m matrices under action of the Klein group, with a sixth of 1s, 2s, 3s, 4s, 5s and 6s (ordered occurrences rounded up/down if n·m ≠ 0 mod 6). A287022

a(n) = 49·n² + 2·n. A157365

Numbers k such that in a rotated-square spiral with positive integers (A215468) among k's eight nearest neighbors five or more are primes. A215471

Numbers k such that both k and k²/2 are averages of twin prime pairs. A152787

a(n) is the smallest number not yet in the sequence such that the concatenation of all terms yields a periodic stream of digits 1, 2, 3, ..., 7 (repeat from 1). A165305

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 2, a(1) = 3, b(0) = 1, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A295965

Numbers n such that product of double factorials of the digits of n equals σ(n). A158989

Numbers n such that 5·10ⁿ-1 is prime. A56712