Properties of the Number 2313

Two Thousand Three Hundred Thirteen

Basics

Value: 2312 → 2313 → 2314

Parity: odd

Prime: No

Previous Prime: 2311

Next Prime: 2333

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 257

Divisors: 1, 3, 9, 257, 771, 2313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100001001

Octal: 4411

Duodecimal: 1409

Hexadecimal: 909

Square: 5349969

Square Root: 48.093658625644196

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

a(n) = 2·n² + 1. A58331

Coordination sequence T1 for Zeolite Code LTA and ρ. A8137

Number of partitions of n having a non-integer median. A307683

Numbers obtained by reinterpreting base-2 representation of n in primorial base: a(0) = 0, a(2n) = A276154(a(n)), a(2n+1) = 1 + A276154(a(n)). A276156

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

Numbers k for which A003415(k) >= A276086(k), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A351228

Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1. A3271

Number of labeled loop-graphs covering n vertices with at most n edges. A369194

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

List of binary palindromes of even length (written in base 10). A48701