Properties of the Number 13114

Thirteen Thousand One Hundred Fourteen

Basics

Value: 13113 → 13114 → 13115

Parity: even

Prime: No

Previous Prime: 13109

Next Prime: 13121

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 79 × 83

Divisors: 1, 2, 79, 83, 158, 166, 6557, 13114

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100111010

Octal: 31472

Duodecimal: 770A

Hexadecimal: 333a

Square: 171976996

Square Root: 114.51637437502114

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

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*(1-x⁴)). A2621

Total number of parts in all partitions of n with at least one distinct part. A220477

a(n) = 2·prime(n)*prime(n+1). A69486

Sum of numbers in the n-th antidiagonal of the reciprocity array of 2. A259580

a(n) = (27·n² + 9·n + 2)/2. A93485

Square array of distinct positive integers A(n, k), n, k > 0, read and filled the greedy way by antidiagonals downwards such that the concatenations of the terms of two distinct rows are always equal. A363932

Numbers n such that φ(n + 1) | σ(n) for n congruent to 1 (mod 3). A15817

Numbers k such that σ(k) = 2*φ(k+1). A68423

Number of (n+1) X 2 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. A206260

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * ∏_k=0..n-1 A(u(n)^k*x), where u(n) = exp(2*π*I/n) is an n-th root of unity. A206725