Properties of the Number 75665

Seventy-Five Thousand Six Hundred Sixty-Five

Basics

Value: 75664 → 75665 → 75666

Parity: odd

Prime: No

Previous Prime: 75659

Next Prime: 75679

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 37 × 409

Divisors: 1, 5, 37, 185, 409, 2045, 15133, 75665

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011110010001

Octal: 223621

Duodecimal: 37955

Hexadecimal: 12791

Square: 5725192225

Square Root: 275.0727176584403

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

T(n,k)=Rolling icosahedron footprints: number of nXk 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge. A223233

Number of ways to place 3 points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle with sides parallel to the grid. A243212

Total number of parts that are the smallest part or the largest part in all partitions of n. A182978

Rolling icosahedron footprints: number of n X 5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge. A223230

Rolling icosahedron footprints: number of 2 X n 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge. A223234

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A272824

a(n) = (prime(n) + prime(n+2))² + prime(n+1)². A348569

Sum of next n 4th powers. A75665