Properties of the Number 56508

Fifty-Six Thousand Five Hundred Eight

Basics

Value: 56507 → 56508 → 56509

Parity: even

Prime: No

Previous Prime: 56503

Next Prime: 56509

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 17 × 277

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110010111100

Octal: 156274

Duodecimal: 28850

Hexadecimal: dcbc

Square: 3193154064

Square Root: 237.714114010927

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) binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals. A202435

Number of triangles in the graph formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A332606

Number of (n+2) X 3 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals. A202428

Number of (n+2)X8 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals. A202433

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), (0, 1, -1), (0, 1, 0), (1, 0, -1), (1, 0, 0)}. A149834

Number of periodic palindromic structures of length n using exactly two different symbols. A56508

Largest number of maximal node-induced cluster subgraphs of an n-node graph. A352211