Properties of the Number 12313

Twelve Thousand Three Hundred Thirteen

Basics

Value: 12312 → 12313 → 12314

Parity: odd

Prime: No

Previous Prime: 12301

Next Prime: 12323

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 7 × 1759

Divisors: 1, 7, 1759, 12313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000011001

Octal: 30031

Duodecimal: 7161

Hexadecimal: 3019

Square: 151609969

Square Root: 110.96395811253309

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

Number of partitions of n with positive rank. A64173

Number T(n,k) of ways k L-tiles can be placed on an n X n square; triangle T(n,k), n>=0, 0<=k<=A229093(n), read by rows. A243608

a(n) = 8·n² + 20·n + 1. A161617

a(n) = ∑_k=3..n binomial(k-1,2) * floor(n/k). A366970

a(n) = 38·n² + 1. A158593

Number of permutations of [n] whose cycle lengths avoid squares. A329945

Consider the triangle in which the j-th row begins with prime(j) and is the arithmetic progression with least common difference such that the remaining j-1 terms are composite and not divisible by prime(j). Sequence gives last term in each row. A95182

a(n) = 324·n + 1. A158272

Odd composite numbers n, such that n, n+d, n·d and n/d are all odious (A000069) for every divisor d of n. A231558

Zeroless numbers n with digits d₁, d₂, ... d_k such that d₁³ + ... + d_k³ is a cube. A254960