Properties of the Number 26586

Twenty-Six Thousand Five Hundred Eighty-Six

Basics

Value: 26585 → 26586 → 26587

Parity: even

Prime: No

Previous Prime: 26573

Next Prime: 26591

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 211

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011111011010

Octal: 63732

Duodecimal: 13476

Hexadecimal: 67da

Square: 706815396

Square Root: 163.0521389004143

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 alternating patterns of length n, including pairs (x,x). A344605

Number of alternating patterns of length n. A345194

Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives numbers belonging to cycles, including fixed points. A165095

10-gonal (or decagonal) pyramidal numbers: a(n) = n*(n + 1)*(8·n - 5)/6. A7585

Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives numbers belonging to cycles of length greater than 1. A165097

A partition product of Stirling₁ type [parameter k = -6] with biggest-part statistic (triangle read by rows). A157386

A partition product of Stirling₂ type [parameter k = -6] with biggest-part statistic (triangle read by rows). A157396

a(n) = n*(n-3)*(n²-7·n+14)/8. A176145

Numbers k such that φ(k) + φ(k+1) divides σ(k) + σ(k+1). A67282

Triangle read by rows: T(n,k) is the number of non-crossing connected graphs on n nodes on a circle in which the root (a distinguished node) has degree k (n >= 2, 1 <= k <= n-1). A143022