Properties of the Number 26509

Twenty-Six Thousand Five Hundred Nine

Basics

Value: 26508 → 26509 → 26510

Parity: odd

Prime: No

Previous Prime: 26501

Next Prime: 26513

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 541

Divisors: 1, 7, 49, 541, 3787, 26509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011110001101

Octal: 63615

Duodecimal: 13411

Hexadecimal: 678d

Square: 702727081

Square Root: 162.8158468945821

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

Greatest integer k such that k/2ⁿ < (1+sqrt(5))/2 (the golden ratio). A293313

Triangle T(n,k) read by rows: number of series-reduced labeled graphs on n nodes with k components. A307806

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (-1, 0, 1), (0, -1, 1), (1, 1, 0)}. A149245

Number of partitions of n such that the m(number of distinct parts) is a part, where m = multiplicity. A240307

a(n) = k if k is odd otherwise a(n) = k+1 and k = floor( 2ⁿ*(1+sqrt(5))/2 ). A376448

Number of bracketings of 0#0#0#...#0 giving result 0, where 0#0 = 1, 0#1 = 1#0 = 1#1 = 0. A55392

a(n) = least positive integer > a(n-1) and not (a(i)+a(j))² - a(k)² for 1<=i<j<k<=n. A26509