Properties of the Number 99142

Ninety-Nine Thousand One Hundred Forty-Two

Basics

Value: 99141 → 99142 → 99143

Parity: even

Prime: No

Previous Prime: 99139

Next Prime: 99149

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 19 × 2609

Divisors: 1, 2, 19, 38, 2609, 5218, 49571, 99142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001101000110

Octal: 301506

Duodecimal: 4945A

Hexadecimal: 18346

Square: 9829136164

Square Root: 314.8682264059046

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) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234497

Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234491

Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234494

Irregular triangle read by rows: T(n,k) is the number of permutations of an n X n Rubik's Square reachable in k or fewer moves, terminating at the maximum value. A335136

a(n) = 6ⁿ * T(n, 4/3) where T is the Chebyshev polynomial of the first kind. A99142

Triangle T(n,m) by rows: The number of tatami tilings of a 2 X n grid with dimers and 2·m monomers. A272471