Properties of the Number 25557

Twenty-Five Thousand Five Hundred Fifty-Seven

Basics

Value: 25556 → 25557 → 25558

Parity: odd

Prime: No

Previous Prime: 25541

Next Prime: 25561

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 1217

Divisors: 1, 3, 7, 21, 1217, 3651, 8519, 25557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001111010101

Octal: 61725

Duodecimal: 12959

Hexadecimal: 63d5

Square: 653160249

Square Root: 159.86556852555836

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

Coefficient of xⁿ in the expansion of 1 / ( (1-x) * (1-x-x²) )ⁿ. A372233

Records in A068189 (smallest number k such that n = product of nonzero digits of k, or 0 if no such k exists). A96867

Row sums of A325433. A325434

a(n) = ∑_{i+j+k=n, 0<=j<=i<=n, 0<=k<=n} (n+k)!/(i! * j! * (2·k)!). A92465

G.f.: ∑_n>=0 xⁿ / ∏_k=0..n (1 - (2·k-1)*x)². A216373

E.g.f.: ∏_k>=1 (1 + (exp(x) - 1)^k)^1/k. A345750

Least number k such that k! in binary representation contains a run of exactly n consecutive nontrivial zeros. A94010

Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,4,1,5 (the first five digits of π). A290477

Number of compositions (ordered partitions) of n into prime power parts (A246655) such that no two adjacent parts are equal (Carlitz compositions). A301501

a(n) = (n+1)!/LCM{1,3,6,...,C(n+1,2)}. A25557