Properties of the Number 25960

Twenty-Five Thousand Nine Hundred Sixty

Basics

Value: 25959 → 25960 → 25961

Parity: even

Prime: No

Previous Prime: 25951

Next Prime: 25969

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 11 × 59

Divisors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010101101000

Octal: 62550

Duodecimal: 13034

Hexadecimal: 6568

Square: 673921600

Square Root: 161.12107248898263

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) = prime(n) * ∑_i=1..n prime(i). A143215

a(n) = 8000n - 6040. A157627

Total sum of parts of multiplicity 5 in all partitions of n. A222733

Expansion of (∏_k>0 (1 - x^k) / (1 - x^5·k))⁵ in powers of x. A285932

a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), m=[ (n+1)/2 ], T given by A026758. A26880

Number of partitions of n into parts not of the form 23k, 23k+4 or 23k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 10 are greater than 1. A35992

Expansion of Gaussian product of arithmetic mean and Lehmer mean evaluated at 1 + 4·x. A78801

The sum of a triangular array made from a negative 6-fold permutation product. A105156

G.f. satisfies: A(x) = (1 - 3·x*A(x)²) * sqrt(4·A(x)² - 3). A231617

a(n) = ∑_k=0..n-1 {[x^k] A(x)^n-k} * {[x^n-k-1] A(x)^k+1} for n>0, with a(0)=1, where g.f. A(x) = ∑_n>=0 a(n)*xⁿ. A161881