Properties of the Number 57637

Fifty-Seven Thousand Six Hundred Thirty-Seven

Basics

Value: 57636 → 57637 → 57638

Parity: odd

Prime: Yes

Previous Prime: 57601

Next Prime: 57641

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 57637

Divisors: 1, 57637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100100101

Octal: 160445

Duodecimal: 29431

Hexadecimal: e125

Square: 3322023769

Square Root: 240.07707095847366

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

Primes of form n² + 6561. A256837

Prime numbers n such that n = p1³ + p2³ + p3³, a sum of cubes of 3 distinct prime numbers. A137365

Primes having square prime gaps to both neighbor primes. A353088

Primes p such that prime(p)² - 2 = prime(q) for some prime q. A261354

Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime. A137366

First of four consecutive primes p,q,r,s such that (2·p+q)/5 and (r+2·s)/5 are prime. A358149

Numbers k such that the least m for which m·k is a lucky number (if such an m exists) sets a new record. A378049

Primes p such that p + 4, p + 12 and p + 16 are also primes. A384298

Smallest nontrivial extension of n-th square which is a prime. A30685

a(n) is the largest number k such that σ(k) = n, where σ is the sum of divisors function A000203, or 0 if no such k exists. A57637