Properties of the Number 25325

Twenty-Five Thousand Three Hundred Twenty-Five

Basics

Value: 25324 → 25325 → 25326

Parity: odd

Prime: No

Previous Prime: 25321

Next Prime: 25339

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 ² × 1013

Divisors: 1, 5, 25, 1013, 5065, 25325

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001011101101

Octal: 61355

Duodecimal: 127A5

Hexadecimal: 62ed

Square: 641355625

Square Root: 159.13830462839547

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 A(n,k) of up-down sequences with k copies each of 1,2,...,n; square array A(n,k), n>=0, k>=0, read by antidiagonals. A275784

Triangle read by rows: row n gives coefficients of Schur polynomial ω(n) in order of decreasing powers of x. A269750

Number of alternating permutations of the multiset {1,1,2,2,...,n,n}. A275801

E.g.f. A(x) satisfies A(x) = 1/( 1 - 3·x*exp(x·A(x)²) )^1/3. A380041

Polynomial (1/3)*n³ + (9/2)*n² + (85/6)*n - 2. A73775

Triangle read by rows: T(n,k) = 2·k*T(n-1,n-1) + 1 (n >= 0, 0 <= k <= n), with T(0,0) = 1. A161380

Products of 3 evil primes (A027699) p,q,r, such that numbers p·q, p·r, q·r, and p·q*r are odious (A000069). A230353

Antidiagonal sums of A163280. A163983

a(n) = 2·binomial(n+4, 4) + n + 4. A177206

G.f. satisfies A(x) = A(x²) + A(x²)²*A(x³)/A(x⁶), with A(0) = 0 and A'(0) = 1. A382316