Properties of the Number 25857

Twenty-Five Thousand Eight Hundred Fifty-Seven

Basics

Value: 25856 → 25857 → 25858

Parity: odd

Prime: No

Previous Prime: 25849

Next Prime: 25867

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 ² × 17

Divisors: 1, 3, 9, 13, 17, 39, 51, 117, 153, 169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 110010100000001

Octal: 62401

Duodecimal: 12B69

Hexadecimal: 6501

Square: 668584449

Square Root: 160.80111939908875

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) = 17·n². A244630

Expansion of q^-1/3 * (η(q⁶)⁴ / (η(q) * η(q³) * η(q⁴) * η(q¹²)))² in powers of q. A132977

Expansion of f(-x, -x⁵) * f(-x⁶) / f(-x)² in powers of·where f(, ) and f() are Ramanujan θ functions. A132302

Terms k of A228058 for which A048146(k)+A162296(k) >= 2·k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor. A389219

Expansion of e.g.f. sin(sin(sin(x))) (odd powers only). A3715

Expansion of f(x, x⁵) * f(-x⁶) / f(x)² in powers of·where f() is a Ramanujan θ function. A254346

Expansion of c(q) * c(q⁶) / c(q²)² in powers of q where c() is a cubic AGM θ function. A122830

a(n) = numerator of ∏_k=1..n k^μ(n+1-k), where μ(k) = A008683(k). A130088

Number of binary strings of length n with no substrings equal to 000, 010, or 111. A164317

van Heijst's upper bound on the number of squares inscribed by a real algebraic curve in R² of degree n, if the number is finite. A239352