Properties of the Number 57641

Fifty-Seven Thousand Six Hundred Forty-One

Basics

Value: 57640 → 57641 → 57642

Parity: odd

Prime: Yes

Previous Prime: 57637

Next Prime: 57649

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 57641

Divisors: 1, 57641

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100101001

Octal: 160451

Duodecimal: 29435

Hexadecimal: e129

Square: 3322484881

Square Root: 240.08540147205952

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) is the sum of prime numbers between 2ⁿ+1 and 2ⁿ⁺¹. A293697

First of three consecutive primes p, q, r such that p + q - r, p² + q² - r² and p³ + q³ - r³ are all prime. A358744

Primes that are the concatenation of a square and a prime that is the concatenation of two squares. A364359

Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array. A220045

Primes that are the sum of all primes in an interval [k,2·k] for some k>=1. A389113

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (1, 0, 1), (1, 1, -1), (1, 1, 0)}. A150784

a(n) = floor(H(n) + exp(H(n))*log(H(n))) - σ(n), where H(n) = ∑_k=1..n 1/k and σ(n) (A000203) is the sum of the divisors of n. A57641