Properties of the Number 25513

Twenty-Five Thousand Five Hundred Thirteen

Basics

Value: 25512 → 25513 → 25514

Parity: odd

Prime: No

Previous Prime: 25471

Next Prime: 25523

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31 × 823

Divisors: 1, 31, 823, 25513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110001110101001

Octal: 61651

Duodecimal: 12921

Hexadecimal: 63a9

Square: 650913169

Square Root: 159.72789361911714

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) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

Number of riffs on n or fewer nodes. Number of rotes on 2n+1 or fewer nodes. A112846

Number of partitions of n containing m(1) as a part, where m denotes multiplicity. A240486

2·3*5·6*...*a(n) -+ 1 are primes, with a(n+1) > a(n). A87900

Expansion of g.f. (-1)/(2·x²+2·x) +(-2·x³-3·x²+1) / (sqrt(x⁴+4·x³-2·x²-4·x+1)*(2·x²+2·x)). A247173

Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite). A25513

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252136

Number of (n+2)X(5+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4. A252072

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252198

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252470