Properties of the Number 5185

Five Thousand One Hundred Eighty-Five

Basics

Value: 5184 → 5185 → 5186

Parity: odd

Prime: No

Previous Prime: 5179

Next Prime: 5189

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 17 × 61

Divisors: 1, 5, 17, 61, 85, 305, 1037, 5185

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001000001

Octal: 12101

Duodecimal: 3001

Hexadecimal: 1441

Square: 26884225

Square Root: 72.00694410957877

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

a(n) = 4·n² + 1. A53755

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 13 ways. A97102

Diagonal in array of n-gonal numbers A081422. A81437

Free polyominoes with 4n squares, having 90-degree rotational symmetry about a square corner, but not having reflective symmetry. A234007

a(n) = n*(9·n - 1)/2. A22266

Number of partitions of n containing a clique of size 9. A183566

Number of regions in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357058

Subgroups of nimber addition interpreted as binary numbers. A190939

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1. A299708