Properties of the Number 337

Three Hundred Thirty-Seven

Basics

Value: 336 → 337 → 338

Parity: odd

Prime: Yes

Previous Prime: 331

Next Prime: 347

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 337

Divisors: 1, 337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010001

Octal: 521

Duodecimal: 241

Hexadecimal: 151

Square: 113569

Square Root: 18.35755975068582

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

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

Primes of the form x² + xy + 2y², with·and y nonnegative. A106856

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

Primes of the form 6m + 1. A2476

Numbers whose base-3 representation contains no 2. A5836

Emirps (primes whose reversal is a different prime). A6567

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 2 (most significant digit on right). A29495

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 2p-1 is also prime. A5382

Primes congruent to 1 (mod 12). A68228