Properties of the Number 25264

Twenty-Five Thousand Two Hundred Sixty-Four

Basics

Value: 25263 → 25264 → 25265

Parity: even

Prime: No

Previous Prime: 25261

Next Prime: 25301

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 1579

Divisors: 1, 2, 4, 8, 16, 1579, 3158, 6316, 12632, 25264

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001010110000

Octal: 61260

Duodecimal: 12754

Hexadecimal: 62b0

Square: 638269696

Square Root: 158.94653189044422

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) = A047080(2·n, n+1). A47087

Irregular triangle read by rows: T(N,k) (0 <= k <= 4·N²) are coefficients of cluster density function for site percolation on a 2·N X 2·N 2D hexagonal lattice with periodic boundary conditions. A365944

Number of cryptarithms of the form x + y = z in base n for which no summand contains any letter more than once and for which the solution is unique. A277496

Number of permutations of length n which avoid the patterns 231, 1432, 4123. A116734

Exponent of least power of 2 having exactly n consecutive 7's in its decimal representation. A131541

E.g.f.: A(x) = ∑_n>=0 (-log(1-x))^[n*φ] / [n*φ]!, where [n*φ] = A000201(n), the lower Wythoff sequence, and φ = (1+sqrt(5))/2. A184818

The exponential generating function A(x) = Sum a(j) x^j/j! satisfies the functional equation A(x)=1+x*(A(x))*(1-log(A(x))). A80073

a(m,n) is the number of ways to split two strings of length m and n, respectively, into the same number of nonempty parts such that at least one of the corresponding parts has length 1. A180091

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, starting 2,1,1. A25264