Properties of the Number 313

Three Hundred Thirteen

Basics

Value: 312 → 313 → 314

Parity: odd

Prime: Yes

Previous Prime: 311

Next Prime: 317

Digit Sum: 7

Digital Root: 7

Palindrome: Yes

Factorization: 313

Divisors: 1, 313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111001

Octal: 471

Duodecimal: 221

Hexadecimal: 139

Square: 97969

Square Root: 17.69180601295413

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

Palindromes in base 10. A2113

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

Greater of twin primes. A6512

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Numbers in base 4. A7090

Palindromic primes: prime numbers whose decimal expansion is a palindrome. A2385

Primes of the form 6m + 1. A2476

Twin primes. A1097

Binary palindromes: numbers whose binary expansion is palindromic. A6995

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