Properties of the Number 57643

Fifty-Seven Thousand Six Hundred Forty-Three

Basics

Value: 57642 → 57643 → 57644

Parity: odd

Prime: No

Previous Prime: 57641

Next Prime: 57649

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 59 × 977

Divisors: 1, 59, 977, 57643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100101011

Octal: 160453

Duodecimal: 29437

Hexadecimal: e12b

Square: 3322715449

Square Root: 240.08956662045938

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

Inverse Euler transform of the Euler totient function φ = A000010. A320778

Numbers that are the sum of nine fifth powers in three or more ways. A345620

Numbers that are the sum of nine fifth powers in exactly three ways. A346338

Expansion of g.f.: (1-2·x)/(1-3·x+2·x³). A52948

T(n,k)=Number of n X k arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221378

a(n) = a(n-1) + a(n-3) unless a(n-1) and a(n-3) are both even in which case a(n) = (a(n-1) + a(n-3))/2, with a(0) = a(1) = a(2) = 1. A341312

Number of n X 2 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221374

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1010-1111-0010 pattern in any orientation. A146633

Least common multiple of all (k+1)'s, where the k's are the positive divisors of n. A57643

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 2^n²-k * 3^k) (mod 5ⁿ) ). A376535