Properties of the Number 13289

Thirteen Thousand Two Hundred Eighty-Nine

Basics

Value: 13288 → 13289 → 13290

Parity: odd

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 97 × 137

Divisors: 1, 97, 137, 13289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111101001

Octal: 31751

Duodecimal: 7835

Hexadecimal: 33e9

Square: 176597521

Square Root: 115.27792503337315

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) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

Number of words of length n over the alphabet {0,1,...,10} such that no two consecutive terms have distance 9. A287839

a(n) = least k such that the remainder of 30^k divided by k is n. A128370

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero. A305288

f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices. A11826

Number of integer compositions of n containing two adjacent ones and no other runs. A373950

Odd numbers which are factored to the same set of primes in Z as to the irreducible polynomials in GF(2)[X]; odd terms of A235036. A235039

Products of pairs made by match-making permutation: a(n) = A266195(n) * A266195(n+1). A266194

a(n) is the smallest positive composite that cannot be expressed as the sum of any subset of earlier terms and is not a multiple of any earlier term. A330071

[ n(n-1)(n-2)(n-3)/7 ]. A11917