Properties of the Number 18585

Eighteen Thousand Five Hundred Eighty-Five

Basics

Value: 18584 → 18585 → 18586

Parity: odd

Prime: No

Previous Prime: 18583

Next Prime: 18587

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 59

Divisors: 1, 3, 5, 7, 9, 15, 21, 35, 45, 59

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100010011001

Octal: 44231

Duodecimal: A909

Hexadecimal: 4899

Square: 345402225

Square Root: 136.32681321002116

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

Odd primitive abundant numbers. A6038

Number A(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet; square array A(n,k), n>=0, k>=0, read by antidiagonals. A144074

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844

Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors. A188439

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 2 - x². A368151

Euler transform of powers of 3. A144067

The number of vertices inside a cross with width 3 and height n (see Comments in A331455 for definition) formed by the straight line segments mutually connecting all vertices and all points. A330850

Odd recursive abundant numbers: odd numbers k such that A333926(k) > 2·k. A333950

Primitive terms of A388034. A388035

a(n) = (n³ + 9·n + 14·n + 9)/3. A322595