Properties of the Number 26086

Twenty-Six Thousand Eighty-Six

Basics

Value: 26085 → 26086 → 26087

Parity: even

Prime: No

Previous Prime: 26083

Next Prime: 26099

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 13043

Divisors: 1, 2, 13043, 26086

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010111100110

Octal: 62746

Duodecimal: 1311A

Hexadecimal: 65e6

Square: 680479396

Square Root: 161.5116094898444

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

Number of subsets of {1..n} with all distinct lengths of maximal runs (increasing by 1). A384175

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 1. A50043

a(n) = C(n+2,3) + C(n,3) + C(n-1,3). A6004

The number of trisubstitution products with composition C_n H_2n-1 X₂ Y. A159940

Expansion of ψ(-x³) / φ(-x) in powers of·where ψ(), φ() are Ramanujan θ functions. A132218

Number of (w,x,y) with all terms in {0,...,n} and x ≠ min(|w-x|, |x-y|). A213502

Number of n X 4 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. A266931

Sum of the prime numbers appearing along the border of an n X n square array whose elements are the numbers from 1..n², listed in increasing order by rows. A344846

a(n) = ∑_k=0..2n-2 T(n,k) * T(n,k+2), with T given by A027082. A27111

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 1, 0), (1, 0, -1), (1, 0, 1)}. A150252