Properties of the Number 25700

Twenty-Five Thousand Seven Hundred

Basics

Value: 25699 → 25700 → 25701

Parity: even

Prime: No

Previous Prime: 25693

Next Prime: 25703

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 ² × 257

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110010001100100

Octal: 62144

Duodecimal: 12A58

Hexadecimal: 6464

Square: 660490000

Square Root: 160.31219541881399

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) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597

For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property. A326640

Expansion of (1+x²)/((1-x)²*(1-x²)²*(1-x³)²*(1-x⁸)*(1-x⁹)*(1-x¹⁰)). A69956

Numbers k such that Bernoulli number B_k has denominator 33330. A295589

Number of permutations of floor(i·8/7), i=0..n-1, with all sums of 2 through 4 adjacent terms respectively unique. A147940

Number of permutations of floor(i·8/7), i=0..n-1, with all sums of 2 through 5 adjacent terms respectively unique. A147949

Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid. A155225

A triangle sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n+1, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}]. A174860

Index of 3ⁿ within the sequence of the numbers of the form 3ⁱ * 10^j. A25700