Properties of the Number 65085

Sixty-Five Thousand Eighty-Five

Basics

Value: 65084 → 65085 → 65086

Parity: odd

Prime: No

Previous Prime: 65071

Next Prime: 65089

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 4339

Divisors: 1, 3, 5, 15, 4339, 13017, 21695, 65085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111000111101

Octal: 177075

Duodecimal: 317B9

Hexadecimal: fe3d

Square: 4236057225

Square Root: 255.1176199324539

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 permutations of {1,2,...,n} having no increasing cycles. A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A186755

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) < b(2) < b(3) < ... . A186754

a(n) = ∑_{k=0..floor(n/2)+1} (k+1) * A026009(n, k). A27291

Smallest prime having alternating bit sum (A065359) equal to -n, or 0 if no such prime exists. A65085