Properties of the Number 57044

Fifty-Seven Thousand Forty-Four

Basics

Value: 57043 → 57044 → 57045

Parity: even

Prime: No

Previous Prime: 57041

Next Prime: 57047

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 13 × 1097

Divisors: 1, 2, 4, 13, 26, 52, 1097, 2194, 4388, 14261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101111011010100

Octal: 157324

Duodecimal: 29018

Hexadecimal: ded4

Square: 3254017936

Square Root: 238.83885781003056

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 (2/(3·sqrt(1-4·z)-1+4·z))*((1-sqrt(1-4·z))/(2·z))^k with k=6. A172063

G.f. A(x) satisfies: A(x) = A(x² + x³) / x. A350432

a(n) = ∑_k=0..n (-1)^k * binomial(3·n-k-1,n-k). A371813

Convolution of A000107 and A027852. A269800

Number of 1..n integer arrays v[1..5] of length 5 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..4. A171342

Numbers n such that 155·2ⁿ-1 is prime. A50619

Number of 1..9 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171283

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 A057044(n)=j(L(n)), where L(n) is the n-th Lucas number. A57044