Properties of the Number 72085

Seventy-Two Thousand Eighty-Five

Basics

Value: 72084 → 72085 → 72086

Parity: odd

Prime: No

Previous Prime: 72077

Next Prime: 72089

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 13 × 1109

Divisors: 1, 5, 13, 65, 1109, 5545, 14417, 72085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100110010101

Octal: 214625

Duodecimal: 35871

Hexadecimal: 11995

Square: 5196247225

Square Root: 268.48649872945197

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

Numbers n such that φ(n-1) + φ(n+1) = φ(2n). A67701

One fifth of product plus sum of five consecutive nonnegative numbers. A166942

a(n) = 1·t(n) + 2·t(n-1) + ... + k·t(n+1-k), where k=floor((n+1)/2) and t = (F(2), F(3), F(4), ...), F(n) = Fibonacci(n). A23864

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (Fibonacci numbers). A24857

The cell number where a knight is trapped when moving on a spirally numbered hexagonal board to the lowest available unvisited cell and starting at cell n. A333684

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (F(2), F(3), F(4), ... ). A24861

Cells visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step. A327131

a(n) = A072084(A072084(n)). A72085

Last cell visited by knight moves on a spirally numbered hexagonal board of edge-length n, moving to the lowest unvisited cell at each step. A327132