Properties of the Number 25653

Twenty-Five Thousand Six Hundred Fifty-Three

Basics

Value: 25652 → 25653 → 25654

Parity: odd

Prime: No

Previous Prime: 25643

Next Prime: 25657

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 503

Divisors: 1, 3, 17, 51, 503, 1509, 8551, 25653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110010000110101

Octal: 62065

Duodecimal: 12A19

Hexadecimal: 6435

Square: 658076409

Square Root: 160.165539364746

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

Central trinomial coefficients: largest coefficient of (1 + x + x²)ⁿ. A2426

Number of partitions of n containing a clique of size 7. A183564

G.f.: ∏_k>=1 (1+x^k²) / (1-x^k). A280204

a(n) = n*(4·n² - 3·n + 5)/6. A174723

a(n) = ∑_k=0..n binomial(2·k, k) * binomial(2·n+1, 2·k). A273055

Triangle read by rows: T(n,k) is the number of paths in the right half-plane from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k H=(2,0) steps (0 <= k <= floor(n/2)). A132885

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1-2*(k+4)*x+((k-4)*x)²) * (1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)²)) )). A337369

Triangle read by rows: T(n,k) is the number of ternary words of length n with k strictly increasing runs (0 <= k <= n; for example, the ternary word 2∣01∣12∣02∣1|1∣012∣2 has 8 strictly increasing runs). A120987

Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1). A5213

Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} having k drops (n>=0, k>=0). The drops of a ternary word on {0,1,2} are the subwords 10,20 and 21. A120906