Properties of the Number 57301

Fifty-Seven Thousand Three Hundred One

Basics

Value: 57300 → 57301 → 57302

Parity: odd

Prime: Yes

Previous Prime: 57287

Next Prime: 57329

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 57301

Divisors: 1, 57301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111010101

Octal: 157725

Duodecimal: 291B1

Hexadecimal: dfd5

Square: 3283404601

Square Root: 239.3762728425689

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

Boustrophedon primes: write the numbers 0, 1, 2, 3, ... in a triangle on a square grid in the boustrophedon manner, ending a row when a prime is reached; sequence lists primes that appear in the zeroth column. A330339

Primes of the form k² + k + 55661, with k >= 0. A116206

a(n) = a(n-2) + a(n-1) + floor(n/2) + 1 for n > 1 and a(0)=0, a(1)=1. A215005

Ratios of consecutive terms in A152466. A238584

a(n) = a(n-1) + 3·a(n-2) - 3·a(n-3) - 2·a(n-4) + 2·a(n-5) for n >= 6, a(0) = 2, a(1) = 4, a(2) = 7, a(3) = 11, a(4) = 18, a(5) = 28. A289131

Primes p such that p⁴ + p - 1, p⁴ + p² - 1, p⁴ + p³ - 1 are also prime. A226938

Number of n X 2 0..1 arrays with exactly n+2-2 having value 1 and no three 1s forming an isosceles right triangle. A272952

Binary counter with bit positions permuted in increasing length cycles: 0;2,1;5,3,4;9,6,7,8,... A57301