Properties of the Number 13105

Thirteen Thousand One Hundred Five

Basics

Value: 13104 → 13105 → 13106

Parity: odd

Prime: No

Previous Prime: 13103

Next Prime: 13109

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 2621

Divisors: 1, 5, 2621, 13105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100110001

Octal: 31461

Duodecimal: 7701

Hexadecimal: 3331

Square: 171741025

Square Root: 114.47707194019246

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

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. A255101

Expansion of e.g.f. sinh(sqrt(3) * (exp(x)-1)) / sqrt(3). A357572

Number of primes of the form 7k+3 less than 10ⁿ. A91122

Number of primes of the form 7k+5 less than 10ⁿ. A91124

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²<=x²+y². A211634

Main diagonal of Unlucky array: a(n) = A255543(n,n). A255549

a(n) = 10·n² + 4·n + 1. A272039

Indices of heptagonal numbers (A000566) which are also centered square numbers (A001844). A254228

Indices of zeros in A268819. A269157

Number of geometry-minimal periodic tilings of the Euclidean plane with Dress-complexity n. A335696