Properties of the Number 57312

Fifty-Seven Thousand Three Hundred Twelve

Basics

Value: 57311 → 57312 → 57313

Parity: even

Prime: No

Previous Prime: 57301

Next Prime: 57329

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 199

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111100000

Octal: 157740

Duodecimal: 29200

Hexadecimal: dfe0

Square: 3284665344

Square Root: 239.39924811912005

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 theta₃ / theta₄. A7096

Number of recursive calls needed to compute the n-th Fibonacci number F(n), starting with F(1) = F(2) = 1. A19274

a(n) = 2·Fibonacci(n+2) + ((-1)ⁿ - 3)/2. A66629

Expansion of φ(q²)² / (φ(-q) * φ(q⁴)) in powers of q where φ() is a Ramanujan θ function. A212318

Expansion of 1+k in powers of q^1/2 where q is Jacobi's nome and k is the elliptic modulus. A134746

Expansion of theta₄/theta₃ in powers of q. A189925

Partial sums of repeated Fibonacci sequence. A94707

Expansion of (φ(-q) / φ(q²))² in powers of q where φ() is a Ramanujan θ function. A210067

Expansion of φ(q²)² / (φ(q) * φ(q⁴)) in powers of q where φ() is a Ramanujan θ function. A232358

Partial sums of F(1) - L(1) + F(2) - L(2) + F(3) - L(3) + ..., where F = A000045 and L = A000032. A355018