Properties of the Number 58786

Fifty-Eight Thousand Seven Hundred Eighty-Six

Basics

Value: 58785 → 58786 → 58787

Parity: even

Prime: No

Previous Prime: 58771

Next Prime: 58787

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 13 × 17 × 19

Divisors: 1, 2, 7, 13, 14, 17, 19, 26, 34, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010110100010

Octal: 162642

Duodecimal: 2A02A

Hexadecimal: e5a2

Square: 3455793796

Square Root: 242.45824382767438

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

Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!). A108

Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864. A89408

Catalan numbers (A000108) interpolated with 0's. A126120

Carlitz-Riordan q-Catalan numbers (recurrence version) for q = -1. A90192

GCD of consecutive central binomial coefficients: a(n) = gcd(A001405(n+1), A001405(n)). A57977

G.f. is 1 + x·c(x), where c(x) is the g.f. of the Catalan numbers (A000108). A120588

Catalan's triangle with right border removed (n > 0, 0 <= k < n). A30237

G.f. A(x,y) satisfies: A( x - y·A(x,y)², y) = x + (1-y)*A(x,y)², where the coefficients T(n,k) of xⁿ*y^k form a triangle read by rows n>=1, for k=0..n-1. A277295

Catalan numbers with odd index: a(n) = binomial(4·n+2, 2·n+1)/(2·n+2). A24492

Expansion of 1-x·c(-x²) where c(x) is the g.f. of A000108. A105523