Properties of the Number 51924

Fifty-One Thousand Nine Hundred Twenty-Four

Basics

Value: 51923 → 51924 → 51925

Parity: even

Prime: No

Previous Prime: 51913

Next Prime: 51929

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4327

Divisors: 1, 2, 3, 4, 6, 12, 4327, 8654, 12981, 17308

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1100101011010100

Octal: 145324

Duodecimal: 26070

Hexadecimal: cad4

Square: 2696101776

Square Root: 227.8683830635571

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 digits in n-th even perfect number (A000396). A61193

T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal, vertical and antidiagonal neighbors in a random 0..2 nXk array. A221188

Expansion of q / (χ(-q) * χ(-q¹¹))² in powers of q where χ() is a Ramanujan θ function. A123631

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, -1, 1), (0, 1, -1), (1, 1, 0)}. A149373

Equals two maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal, vertical and antidiagonal neighbors in a random 0..2 nX4 array. A221187

a(n) = binomial(2·n,n) - binomial(2·n-2,n-1); or (3n-2)*C(n-1), where C = Catalan numbers (A000108). A51924