Properties of the Number 57053

Fifty-Seven Thousand Fifty-Three

Basics

Value: 57052 → 57053 → 57054

Parity: odd

Prime: No

Previous Prime: 57047

Next Prime: 57059

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 59 × 967

Divisors: 1, 59, 967, 57053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111011011101

Octal: 157335

Duodecimal: 29025

Hexadecimal: dedd

Square: 3255044809

Square Root: 238.85769822218415

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

Asymptotic value of odd Catalan numbers mod 2ⁿ. A178854

Sum of numbers of ways to choose a k-chain of divisors of n - k, for k = 0..n - 1. A343940

Integers m such that A014448(m) == 1 (mod m). A335722

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 0), (1, 0, -1), (1, 0, 0)}. A149972

Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057053(n)=j(n³). A57053

G.f. A(x) satisfies: ∑_n>=0 A(x)^n*(n+1/2) * xⁿ = ∑_n>=0 A(x)⁽ⁿ⁺¹²) * x^2·n. A335625