Properties of the Number 81623

Eighty-One Thousand Six Hundred Twenty-Three

Basics

Value: 81622 → 81623 → 81624

Parity: odd

Prime: No

Previous Prime: 81619

Next Prime: 81629

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 31 × 2633

Divisors: 1, 31, 2633, 81623

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111011010111

Octal: 237327

Duodecimal: 3B29B

Hexadecimal: 13ed7

Square: 6662314129

Square Root: 285.69739235771823

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

Expansion of ∏_m>=1 (1 + m·q^m)^-2. A22694

Number of (n+2) X (3+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1. A257442

Convolution of A023531 and Lucas numbers. A23558

Number of ways in which the points on an n X n square lattice can be equally occupied with spin "up" and spin "down" particles. If n is odd, we arbitrarily take the lattice to contain one more spin "up" particle than the number of spin "down" particles. A81623