Properties of the Number 57365

Fifty-Seven Thousand Three Hundred Sixty-Five

Basics

Value: 57364 → 57365 → 57366

Parity: odd

Prime: No

Previous Prime: 57349

Next Prime: 57367

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 11 × 149

Divisors: 1, 5, 7, 11, 35, 55, 77, 149, 385, 745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000010101

Octal: 160025

Duodecimal: 29245

Hexadecimal: e015

Square: 3290743225

Square Root: 239.50991628740553

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

a(n) = ∑_{1 <= i, j <= n} gcd(i, j, n)³. A368743

Number of partitions p of n such that median(p) <= multiplicity(min(p)). A240213

a(n) = 225·2ⁿ - 235. A278125

Number of n X 7 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 7 array. A219501

a(n) = floor(13·n/21). A57365

G.f. satisfies: A(x) = ∑_n>=0 nⁿ * xⁿ / (A(x) + n·x)ⁿ. A211207