Properties of the Number 51714

Fifty-One Thousand Seven Hundred Fourteen

Basics

Value: 51713 → 51714 → 51715

Parity: even

Prime: No

Previous Prime: 51713

Next Prime: 51719

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 ² × 17

Divisors: 1, 2, 3, 6, 9, 13, 17, 18, 26, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101000000010

Octal: 145002

Duodecimal: 25B16

Hexadecimal: ca02

Square: 2674337796

Square Root: 227.40712389896672

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

Number of ways to place 2 nonattacking wazirs on an n X n board. A172225

Expansion of φ(q) * φ(-q³) * f(-q¹²) / f(-q⁴)³ in powers of q where φ(), f() are Ramanujan θ functions. A254372

Number of multiset partitions of integer partitions of n where all parts have the same product. A320886

Numbers k such that k | sigma₁₃(k) - φ(k)¹³. A55707

a(n) = 34·n². A303302

Numerators of table a(n,k) read by antidiagonals: a(0,k) = 1/(k+1), a(n+1,k) = (k+1)*(a(n,k) - a(n,k+1)), n >= 0, k >= 0. A51714

Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10. A233962

G.f. A(x) satisfies: A(x*(1+x)³) = 1 + x. A171790