Properties of the Number 51724

Fifty-One Thousand Seven Hundred Twenty-Four

Basics

Value: 51723 → 51724 → 51725

Parity: even

Prime: No

Previous Prime: 51721

Next Prime: 51749

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 67 × 193

Divisors: 1, 2, 4, 67, 134, 193, 268, 386, 772, 12931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101000001100

Octal: 145014

Duodecimal: 25B24

Hexadecimal: ca0c

Square: 2675372176

Square Root: 227.42910983425142

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 3 nonattacking wazirs on a 3 X n board. A172229

Expansion of g.f.: 4ⁿ*n!*(1-y)ⁿ⁺¹*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = -2. A171694

a(n) = sum of n-th column in array in A100452. A100454

Row sums of triangle A113084, which satisfies the recurrence: A113084(n,k) = [A113084³](n-1,k-1) + [A113084³](n-1,k). A113087

Numerator of n/12. A51724

Number of (n+1)X(2+1) 0..3 arrays with the upper median unequal to the lower median in every 2X2 subblock. A235844