Properties of the Number 13185

Thirteen Thousand One Hundred Eighty-Five

Basics

Value: 13184 → 13185 → 13186

Parity: odd

Prime: No

Previous Prime: 13183

Next Prime: 13187

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 293

Divisors: 1, 3, 5, 9, 15, 45, 293, 879, 1465, 2637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110000001

Octal: 31601

Duodecimal: 7769

Hexadecimal: 3381

Square: 173844225

Square Root: 114.82595525402782

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 3-covers of an unlabeled n-set. A5783

Number of ways to write n as an ordered sum of 5 prime powers (including 1). A341134

Expansion of ∑_i>=1 i·xⁱ/(1 - x) * ∏_j=1..i 1/(1 - x^j). A284870

Number of tilings of a 12 X n rectangle using 2·n copies of the disconnected shape [ooo___ooo]. A323423

a(n) = ( 2·n*(2·n² + 9·n + 14) + (-1)ⁿ - 1 )/16. A248851

Odd multiplicative orders of 2+-i modulo primes p == 3 (mod 4). A385217

Row 3 of array in A047666. A47667

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>0. A211545

Number of permutations of length n which avoid the patterns 2314, 4321. A116708

Number of (n+2) X 9 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order. A204380