Properties of the Number 26034

Twenty-Six Thousand Thirty-Four

Basics

Value: 26033 → 26034 → 26035

Parity: even

Prime: No

Previous Prime: 26029

Next Prime: 26041

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 4339

Divisors: 1, 2, 3, 6, 4339, 8678, 13017, 26034

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110010110110010

Octal: 62662

Duodecimal: 13096

Hexadecimal: 65b2

Square: 677769156

Square Root: 161.35055004554525

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

T(n,k)=3-loop graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223247

Number of distinct solutions to reverse the 8 puzzle (3 X 3 analog of the 4 X 4 15 puzzle) in 28, 30, 32, ... moves. A46164

a(n) = 102·2ⁿ - 78. A305159

The binary expansion of a(n) is the second through n-th terms of A000002 - 1. A329355

3-loop graph coloring a rectangular array: number of n X 2 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223241

3-loop graph coloring a rectangular array: number of nX5 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223244

Numbers n such that 2ⁿ'-1 is prime, where n' is the arithmetic derivative of n. A189992

T(n,[ n/2 ]), where T is defined in A026022. A26034