Properties of the Number 457

Four Hundred Fifty-Seven

Basics

Value: 456 → 457 → 458

Parity: odd

Prime: Yes

Previous Prime: 449

Next Prime: 461

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 457

Divisors: 1, 457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001001

Octal: 711

Duodecimal: 321

Hexadecimal: 1c9

Square: 208849

Square Root: 21.37755832643195

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

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

Primes of the form 6m + 1. A2476

Primes p such that p + 4 is also prime. A23200

Primes congruent to 1 or 2 modulo 4; or, primes of form x² + y²; or, -1 is a square mod p. A2313

Primes p such that p + 6 is also prime. (Lesser of a pair of sexy primes.) A23201

Primes congruent to 1 (mod 12). A68228

Primes p such that (p+1)/2 is prime. A5383

Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w² + x·y = 0. A211422

Primes of form 8n+1, that is, primes congruent to 1 mod 8. A7519

Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + ∏_k=1..n a(k). A945