Properties of the Number 13182

Thirteen Thousand One Hundred Eighty-Two

Basics

Value: 13181 → 13182 → 13183

Parity: even

Prime: No

Previous Prime: 13177

Next Prime: 13183

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 ³

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001101111110

Octal: 31576

Duodecimal: 7766

Hexadecimal: 337e

Square: 173765124

Square Root: 114.81289126226201

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 integer compositions of n with all distinct run-sums. A353850

Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m. A230624

a(n) = n²*binomial(n,2). A92364

Sum of the squarefree parts of the partitions of n into 9 parts. A309485

Numbers of the form (6ⁱ)*(13^j), with i, j >= 0. A107710

Numbers k such that the k-th cyclotomic polynomial has a root mod 13. A245481

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300146

Number of 3-voter voting schemes with n linearly ranked choices. A7009

a(n) = n³ if n odd, 3·n³/4 if n even. A309337

Expansion of ∏_{i>0, j>0, k>0} 1/(1 - x^{i² + j² + k²}). A321433