Properties of the Number 15326

Fifteen Thousand Three Hundred Twenty-Six

Basics

Value: 15325 → 15326 → 15327

Parity: even

Prime: No

Previous Prime: 15319

Next Prime: 15329

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 79 × 97

Divisors: 1, 2, 79, 97, 158, 194, 7663, 15326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101111011110

Octal: 35736

Duodecimal: 8A52

Hexadecimal: 3bde

Square: 234886276

Square Root: 123.79822292747178

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 nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally. A189196

Sum over all Dyck paths of semilength n of products over all peaks p of C(x_p,y_p), where x_p and y_p are the coordinates of peak p. A258180

Expansion of 1/(1 - ∑_k>=1 k²*x^k/(1 - x^k)). A320649

Number of letters (0's and 1's) in the n-th iterate of the final-letter-removed mapping defined at A289035. A293077

a(n)² is the start of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245). A340663

Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group. A7993

Number of n X n binary arrays without the pattern 0 0 1 vertically or antidiagonally. A189189

Number of nX4 binary arrays without the pattern 0 0 1 vertically or antidiagonally. A189191

Number of 4 X n binary arrays without the pattern 0 0 1 vertically or antidiagonally. A189197

Squarefree numbers that are k·A005117(k) for some k. A257832