Properties of the Number 57086

Fifty-Seven Thousand Eighty-Six

Basics

Value: 57085 → 57086 → 57087

Parity: even

Prime: No

Previous Prime: 57077

Next Prime: 57089

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 17 × 23 × 73

Divisors: 1, 2, 17, 23, 34, 46, 73, 146, 391, 782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111011111110

Octal: 157376

Duodecimal: 29052

Hexadecimal: defe

Square: 3258811396

Square Root: 238.92676702286832

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

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows. A243881

Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2·n+3)*(2·n-1). A30440

Number of Dyck paths of semilength n avoiding the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)). A243870

Number of strictly increasing arrangements of 7 nonzero numbers in -(n+5)..(n+5) with sum zero. A188126

Start with 1 and repeatedly reverse the digits and add 37 to get the next term. A118633

Table read by downward antidiagonals: T(n,k) is the number of strictly increasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero. A188122

Scaled Chebyshev U-polynomials evaluated at sqrt(10)/2. A57086

G.f.: 1/(1-x) * ∏_n>=1 (1 - x^2·n)²/(1 - x^2·n-1)². A199015