Properties of the Number 51567

Fifty-One Thousand Five Hundred Sixty-Seven

Basics

Value: 51566 → 51567 → 51568

Parity: odd

Prime: No

Previous Prime: 51563

Next Prime: 51577

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 17189

Divisors: 1, 3, 17189, 51567

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100101101111

Octal: 144557

Duodecimal: 25A13

Hexadecimal: c96f

Square: 2659155489

Square Root: 227.0836850150182

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

Bases b for which there exists an integer y such that y² in base b looks like [c,d,c,d,c,d] for some base-b digits c, d. A290173

The growth series for the affine Weyl group E₈. A267176

Consider problem of placing N queens on an n X n board so that each queen attacks precisely k others. Here k=1 and sequence gives number of inequivalent solutions when N is equal to the upper bound 2·floor(2n/3). A51567

Number of (n+2)X(3+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252947