Properties of the Number 257

Two Hundred Fifty-Seven

Basics

Value: 256 → 257 → 258

Parity: odd

Prime: Yes

Previous Prime: 251

Next Prime: 263

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 257

Divisors: 1, 257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000001

Octal: 401

Duodecimal: 195

Hexadecimal: 101

Square: 66049

Square Root: 16.0312195418814

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: Yes

Cullen Number: No

OEIS Sequences

The prime numbers. A40

a(n) = 2ⁿ + 1. A51

Prime numbers at the beginning of the 20th century (today 1 is no longer regarded as a prime). A8578

Moser-de Bruijn sequence: sums of distinct powers of 4. A695

Pythagorean primes: primes of the form 4·k + 1. A2144

a(n) = n² + 1. A2522

Fermat primes: primes of the form 2^{2^k} + 1, for some k >= 0. A19434

Unary-encoded compressed factorization of natural numbers. A156552

Odd primes. A65091

If n = p_i^e_i * ... * p_k^e_k, p_i < ... < p_k primes (with p_i = prime(i)), then a(n) = (1/2) * (e_i * 2ⁱ + ... + e_k * 2^k). A48675

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