Properties of the Number 58257

Fifty-Eight Thousand Two Hundred Fifty-Seven

Basics

Value: 58256 → 58257 → 58258

Parity: odd

Prime: No

Previous Prime: 58243

Next Prime: 58271

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 6473

Divisors: 1, 3, 9, 6473, 19419, 58257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001110010001

Octal: 161621

Duodecimal: 29869

Hexadecimal: e391

Square: 3393878049

Square Root: 241.36486902612816

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

Alternating sum transform (PSumSIGN) of A000975. A34299

Riordan's general Eulerian recursion: T(n, k) = (k+2)*T(n-1, k) + (n-k-1) * T(n-1, k-1) with T(n,1) = 1, T(n,n) = (-1)^n-1. A157013

Partial sums of A007583. A160156

Number of Dyck paths of semilength n, having no ascents and no descents of length 1, and having no peaks at odd level. A167635

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 285) or the same sequence for the mesh patterns (12, 339), (12, 369), (12, 405). A289609

a(n) = 3·A131090(n) - A131090(n+1). A135261

Row sums of triangle defined in A120853. A160965

Triangle read by rows: this is a variant of A008280 in which 2 rows go from left to right, 2 from right to left, 2 from left to right, etc. A58257

O.g.f. A(x) satisfies: [xⁿ] 1/A(x)ⁿ⁺¹ / (1 - (n+1)*x) = 0, for n > 0. A320415