Properties of the Number 26945

Twenty-Six Thousand Nine Hundred Forty-Five

Basics

Value: 26944 → 26945 → 26946

Parity: odd

Prime: No

Previous Prime: 26927

Next Prime: 26947

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 17 × 317

Divisors: 1, 5, 17, 85, 317, 1585, 5389, 26945

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101000001

Octal: 64501

Duodecimal: 13715

Hexadecimal: 6941

Square: 726033025

Square Root: 164.14932226482082

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 A(n,k) of sequences with k copies each of 1,2,...,n avoiding the pattern 12...n; square array A(n,k), n>=0, k>=0, read by antidiagonals. A269129

a(0)=a(1)=1, a(n) = least k > a(n-1) such that k·a(n-2) is a triangular number. A214961

The function W_n(6) (see Borwein et al. reference for definition). A169711

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

Number of sequences with 5 copies each of 1,2,...,n avoiding the pattern 12...n. A269115

Number of sequences with n copies each of 1,2,3 avoiding the pattern 123. A269121

a(n) = ∑_k=1..n sigma₃(k) * floor(n/k). A356043

a(n) = (2·n - 1)*(24·n² - 42·n + 19). A160174

A bisection of the Motzkin numbers A001006. A26945

Number of n X 4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 0,2,1,3,4 for x=0,1,2,3,4. A196134