Properties of the Number 13089

Thirteen Thousand Eighty-Nine

Basics

Value: 13088 → 13089 → 13090

Parity: odd

Prime: No

Previous Prime: 13063

Next Prime: 13093

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4363

Divisors: 1, 3, 4363, 13089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100100001

Octal: 31441

Duodecimal: 76A9

Hexadecimal: 3321

Square: 171321921

Square Root: 114.4071676076285

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) = T(n,n), T given by A026568. Also a(n) = number of integer strings s(0),...,s(n) counted by T, such that s(n)=0. A26569

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755

Numbers n such that the decimal number concat(6,n) is a square. A273361

Sum of the squarefree parts of the partitions of n into 4 parts. A309479

Number of partitions p of n such that mean(p) > multiplicity(min(p)). A240206

a(n) = A007290(n+2) - 1 = 2·C(n+2,3) - 1. A108766

Number of n X n symmetric positive definite matrices with 2's on the main diagonal and -1, 0, or 1 elsewhere. A114601

Odd numbers k such that φ(k) and cototient(k) have the same prime signature. A280927

Number of partitions of 2n into exactly n nonzero decimal palindromes. A319454

Number of integer partitions of n with sortable prime factors. A326333