Properties of the Number 25782

Twenty-Five Thousand Seven Hundred Eighty-Two

Basics

Value: 25781 → 25782 → 25783

Parity: even

Prime: No

Previous Prime: 25771

Next Prime: 25793

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 4297

Divisors: 1, 2, 3, 6, 4297, 8594, 12891, 25782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010010110110

Octal: 62266

Duodecimal: 12B06

Hexadecimal: 64b6

Square: 664711524

Square Root: 160.5677427131614

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

Record gaps between prime octuplets of the form p + {0, 6, 8, 14, 18, 20, 24, 26} (initial members are A022013), divided by 210. A347852

Expansion of ∏_m>=1 (1 - m·q^m)². A22662

A triangle sequence related to the Eulerian numbers of the second kind: t(n,m) = ∑_i=0..m(-1)^m-i*binomial(n-i-1, m-i)*Stirling2(n+i+1, i+1). A156363

a(n) = floor(n²/3 + n³/2). A390565

Numbers n with ω(n) = ω of 3 nearest larger and 3 nearest smaller neighbors. A101936

G.f.: A(x) = G(G(x)) = G(x)*[1 + A(A(x))] where G(x) = x + x·G(G(G(x))) = g.f. of A091713. A141117

Least prime p such that p-2 and 6n-p are also prime, or 0 if no such prime exists. A266948

Runs of consecutive numbers with the same number of divisors. A225756

Numbers k such that the sum of all possible subsequences of the digits in k, excluding k itself, is k. A65794

Expansion of 1/((1-x)*(1-x⁶)*(1-x⁷)). A25782