Properties of the Number 57088

Fifty-Seven Thousand Eighty-Eight

Basics

Value: 57087 → 57088 → 57089

Parity: even

Prime: No

Previous Prime: 57077

Next Prime: 57089

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁸ × 223

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 223, 256

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111100000000

Octal: 157400

Duodecimal: 29054

Hexadecimal: df00

Square: 3259039744

Square Root: 238.93095236908925

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 ∏_k>=1 1/(1-x^k+7)^k. A263363

Numbers k such that σ(k) = ψ(k) + φ(k) + ω(k)⁵. A391908

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 414", based on the 5-celled von Neumann neighborhood. A288053

a(n) = 2ⁿ*pentanacci(n) or (2ⁿ)*A023424(n-1). A127221

a(n) = 4·a(n-1) - 4·a(n-2) + 2·a(n-4), with a(0)=a(1)=a(2)=0, and a(3)=1. A135248

a(n) = 15n² + 13n³. A85377

T(n,k) = numerator of 2*π*∑_j=0..n-k-1 ((-1)^j*n*(k + j + 2)*(n + k +j)!*(k + j)!²)/((n - k - j - 1)!*(2·k + j + 1)!*j!*γ(k + j + 3/2)*γ(k + j + 5/2)), triangle read by rows (n >= 1, 0 <= k <= n - 1). A159982

a(n) = ∑_k=0..2n (k+1) * A027082(n, k). A27106

Scaled Chebyshev U-polynomials evaluated at i·sqrt(5)/2. Generalized Fibonacci sequence. A57088

Array read by antidiagonals: T(n,k) is the determinant of the Hankel matrix of the 2·n-1 consecutive primes starting at the k-th prime, n >= 0, k >= 1. A350200