Properties of the Number 57329

Fifty-Seven Thousand Three Hundred Twenty-Nine

Basics

Value: 57328 → 57329 → 57330

Parity: odd

Prime: Yes

Previous Prime: 57301

Next Prime: 57331

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 57329

Divisors: 1, 57329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111110001

Octal: 157761

Duodecimal: 29215

Hexadecimal: dff1

Square: 3286614241

Square Root: 239.4347510283334

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 of perfect squared squares of order n up to symmetries of the square and of its squared subrectangles, if any. A181735

Primes p such that p+2, 2p+1, and 2p+3 are also prime. A69142

Triangle T(n, k, q) = (1-qⁿ)*( binomial(n, k) - 1 ) + 1, with q = 4, read by rows. A174720

Triangle T(n, k, q) = (1-qⁿ)*(1/k)*binomial(n-1, k-1)*binomial(n, k-1) - (1-qⁿ) + 1, for q = 4, read by rows. A174733

a(n) = 28·2ⁿ - 15. A305155

Primes p such that 13 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248). A80188

Numbers n such that n is a twin prime and 2n + 1 is a twin prime. A261463

Sophie Germain primes that are also highly cototient numbers. A209194

Primes p(n) such that p(n) + p(n+3) = p(n+1) + p(n+2) and p(n) + p(n+4) = p(n+2) + p(n+3). A266882

First member of a prime sextuplet in a 2p-1 progression. A57329