Properties of the Number 585

Five Hundred Eighty-Five

Basics

Value: 584 → 585 → 586

Parity: odd

Prime: No

Previous Prime: 577

Next Prime: 587

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 5 × 13

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001

Octal: 1111

Duodecimal: 409

Hexadecimal: 249

Square: 342225

Square Root: 24.186773244895647

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

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Binary palindromes: numbers whose binary expansion is palindromic. A6995

sigma₃(n): sum of cubes of divisors of n. A1158

Euler transform of powers of 2 [1,2,4,8,16,...]. A34691

Number of fractions in Farey series of order n. A5728

Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w² + x·y = 0. A211422

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=1} (n+1-i)*(n+1-j). A115004

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Quartic (or 4-fold) factorial numbers: a(n) = ∏_{k = 0..n-1} (4·k + 1). A7696

a(n) = (8ⁿ - 1)/7. A23001