Properties of the Number 51337

Fifty-One Thousand Three Hundred Thirty-Seven

Basics

Value: 51336 → 51337 → 51338

Parity: odd

Prime: No

Previous Prime: 51329

Next Prime: 51341

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 13 × 359

Divisors: 1, 11, 13, 143, 359, 3949, 4667, 51337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100010001001

Octal: 144211

Duodecimal: 25861

Hexadecimal: c889

Square: 2635487569

Square Root: 226.5766978309994

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 partitions p of n such that 2*(number of even numbers in p) >= (number of odd numbers in p). A241654

G.f.: ∑_k>=0 x^k * ∏_j=1..2·k (1 + x^j)/(1 - x^j). A385088

The total number of levels visited by all Motzkin paths of length n. A372033

Number of squares in an n X n grid of squares with diagonals. A111500

a(n) = binomial(n+3, 4) + binomial(n+1, 3) + 1. A368881

Number of strongly connected tournaments on n nodes. A51337

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically. A254564