Properties of the Number 25209

Twenty-Five Thousand Two Hundred Nine

Basics

Value: 25208 → 25209 → 25210

Parity: odd

Prime: No

Previous Prime: 25189

Next Prime: 25219

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2801

Divisors: 1, 3, 9, 2801, 8403, 25209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001001111001

Octal: 61171

Duodecimal: 12709

Hexadecimal: 6279

Square: 635493681

Square Root: 158.7734234687909

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) is the number of n X k array permutations with each element moving one space diagonally, horizontally or vertically. A189355

Number of 6-line partitions of n (i.e., planar partitions of n with at most 6 lines). A225196

Number of permutations (p1,...,pn) such that 1 <= |pk - k| <= 2 for all k. A33305

Number of ways of placing kings with no more than 4 mutual attacks on an n X n chessboard symmetric about the diagonal and under 90-degree rotation. A143891

Number of n X 2 array permutations with each element moving one space diagonally, horizontally or vertically. A189348

Consider the succession rule (x, y, z) -> (z, y+z, x+y+z). Sequence gives z values starting at (0, 1, 2). A219788

Sum of first n Honaker primes. A276255

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7. A252246

Numbers k such that (61·10^k - 1)/3 is prime. A295395

a(n) = floor(floor(S2)/floor(S1)), where S2 and S1 are, respectively, the 2nd and first elementary symmetric functions of {log(k)}, k = 2,3,...,n. A25209