Properties of the Number 25191

Twenty-Five Thousand One Hundred Ninety-One

Basics

Value: 25190 → 25191 → 25192

Parity: odd

Prime: No

Previous Prime: 25189

Next Prime: 25219

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 311

Divisors: 1, 3, 9, 27, 81, 311, 933, 2799, 8397, 25191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110001001100111

Octal: 61147

Duodecimal: 126B3

Hexadecimal: 6267

Square: 634586481

Square Root: 158.71672879693557

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 partitions of n whose length can be written as a nonnegative linear combination of the distinct parts. A367218

Expansion of ∏_k>=1 (1 - x^k)¹². A735

Number of partitions of n in which no parts are multiples of 6. A219601

Triangle of 4-Eulerian numbers. A144698

Triangle T(n, k) = Numbers of ways to place k points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle with sides parallel to the grid. Triangle read by rows. A243211

Euler transform of A373217. A373298

Number of 6 X 6 binary matrices with n=0...36 ones up to row and column permutations. A52370

Multiplicity of highest weight (or singular) vectors associated with character chi₅₂ of Monster module. A34440

Sum of the positive differences of the cubed parts in each partition of n into two parts. A335639

a(n) = ∑_k=0..n T(n,k), where T is the array defined in A025177. A25191