Properties of the Number 51692

Fifty-One Thousand Six Hundred Ninety-Two

Basics

Value: 51691 → 51692 → 51693

Parity: even

Prime: No

Previous Prime: 51691

Next Prime: 51713

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 12923

Divisors: 1, 2, 4, 12923, 25846, 51692

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100111101100

Octal: 144754

Duodecimal: 25AB8

Hexadecimal: c9ec

Square: 2672062864

Square Root: 227.35874735756263

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

The number of reachable states in a simple two-player counting game, in which each player starts with the pair (1,1) and one move is to add one of the opponent's numbers to one of your own numbers, but no number can grow above a pre-defined maximum n. The game continues until one of the players has no legal moves left. The winner is the one having the higher sum of his numbers. A161531

Number of binary arrays of length n+9 with fewer than 5 ones in any length 10 subsequence (=less than 50% duty cycle). A213115

a(n) is twice the smallest k such that A051686(k) = prime(n). A51692