Properties of the Number 5165

Five Thousand One Hundred Sixty-Five

Basics

Value: 5164 → 5165 → 5166

Parity: odd

Prime: No

Previous Prime: 5153

Next Prime: 5167

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 1033

Divisors: 1, 5, 1033, 5165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000101101

Octal: 12055

Duodecimal: 2BA5

Hexadecimal: 142d

Square: 26677225

Square Root: 71.8679344353238

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

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576). A299259

Number of sets (in the Hausdorff metric geometry) at each location between two sets defining a polygonal configuration consisting of two 4-gonal polygonal components chained with string components of length l as l varies. A152929

Powers of cube root of 13 rounded down. A18012

Numbers that are the sum of five third powers in seven or more ways. A345180

Numbers that are the sum of five third powers in exactly seven ways. A345181

Self-inverse permutation of natural numbers: a(0) = 0, a(1) = 1, and for n > 1, if A117966(n) < 0, a(n) = A117967(1+a(-(A117966(n)))), otherwise a(n) = A117968(a(A117966(n)-1)). A246211

Number of integer partitions of n whose nonzero first differences are a submultiset of the parts. A364675

a(n) = -a(n-2) - a(n-3). A112455

Expansion of (1+x+x²) / ((1-x)*(1-x-x²)). A154691

Vertex number of a rectangular spiral related to prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the prime numbers, while the distances between nearest edges perpendicular to the initial edge are all one. A160792