Properties of the Number 26630

Twenty-Six Thousand Six Hundred Thirty

Basics

Value: 26629 → 26630 → 26631

Parity: even

Prime: No

Previous Prime: 26627

Next Prime: 26633

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 2663

Divisors: 1, 2, 5, 10, 2663, 5326, 13315, 26630

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100000000110

Octal: 64006

Duodecimal: 134B2

Hexadecimal: 6806

Square: 709156900

Square Root: 163.18700928689145

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 balanced enriched p-trees of weight n. A320169

Number of Lyndon compositions (aperiodic necklaces of positive integers) with sum n and adjacent parts (including the last with the first part) being coprime. A318745

Number of partitions p of n such that the number of parts is a part or max(p) - min(p) is a part. A241386

Number of 6's found in the first differences of a reduced residue system modulo a primorial p#. A271564

Number of binary arrays of length n+11 with fewer than 6 ones in any length 12 subsequence (=less than 50% duty cycle). A213116

Number of binary arrays of length 2·n+5 with fewer than n ones in any length 2n subsequence (=less than 50% duty cycle). A213123

Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group. A7995

a(n) = A026626(2·n-1, n-1). A26630

T(n,k)=Number of binary arrays of length n+2·k-1 with fewer than k ones in any length 2k subsequence (=less than 50% duty cycle). A213118