Properties of the Number 75462

Seventy-Five Thousand Four Hundred Sixty-Two

Basics

Value: 75461 → 75462 → 75463

Parity: even

Prime: No

Previous Prime: 75437

Next Prime: 75479

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 12577

Divisors: 1, 2, 3, 6, 12577, 25154, 37731, 75462

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010011011000110

Octal: 223306

Duodecimal: 37806

Hexadecimal: 126c6

Square: 5694513444

Square Root: 274.7034764978412

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 nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal. A232065

Number of nX5 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal. A232062

Number of nX6 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal. A232063

a(n) is the number of solutions to the all-ones lights out problem on an n X n square. A75462

Number of (n+2) X 5 0..3 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186875