Properties of the Number 51396

Fifty-One Thousand Three Hundred Ninety-Six

Basics

Value: 51395 → 51396 → 51397

Parity: even

Prime: No

Previous Prime: 51383

Next Prime: 51407

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 4283

Divisors: 1, 2, 3, 4, 6, 12, 4283, 8566, 12849, 17132

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100011000100

Octal: 144304

Duodecimal: 258B0

Hexadecimal: c8c4

Square: 2641548816

Square Root: 226.7068591816313

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640

a(n)/3^n-1 is the expected win if one of three baskets is chosen randomly and the player optimally chooses the coins with values from 1 to n (see Comments for details). A391792

Number of (1+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252641

Number of n-step self-avoiding walks on the square Manhattan lattice that do not take two consecutive turns. A364580

a(n) = (2·n-2)*(2·n-3)*a(n-1)+1. A51396