Properties of the Number 26181

Twenty-Six Thousand One Hundred Eighty-One

Basics

Value: 26180 → 26181 → 26182

Parity: odd

Prime: No

Previous Prime: 26177

Next Prime: 26183

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2909

Divisors: 1, 3, 9, 2909, 8727, 26181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011001000101

Octal: 63105

Duodecimal: 13199

Hexadecimal: 6645

Square: 685444761

Square Root: 161.8054387219416

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 sum of all peaks in the set of Catalan words of length n. A371965

Centered 44-gonal numbers. A195318

a(n) = n⁴ - n³ - n² - n - 1. A125082

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2. A213070

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2. A214373

a(n) = (2·a(n-3) + a(n-1) * a(n-5)) / a(n-6), a(0) = a(1) = ... = a(5) = 1. A275175

Numerators of partial sums for a series for π/(3·sqrt(3)). A128500

Triangular array T(n,k) read by rows, satisfies A377441(n, k+2) = ∑_m=0..k T(k, m)*n^m. A377443

Array read by antidiagonals: T(0,m)=2, T(1,m)=1, T(n,m)=A000032(n) and recursively T(n,m)=( T(n-1,m)² + (4·m + 1)*(-1)ⁿ) / T(n-2, m), n>=0, m>=1. A178030

Number of ways to write n as an ordered sum of 6 prime power palindromes (A084092). A282845