Live analysis

6,006

6,006 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

Abundant Number Palindrome Pronic / Oblong Squarefree

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digital root: 3
Palindrome: Yes
Divisor count: 32
σ(n) — sum of divisors: 16,128

Primality

Prime factorization: 2 × 3 × 7 × 11 × 13

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 11 · 13 · 14 · 21 · 22 · 26 · 33 · 39 · 42 · 66 · 77 · 78 · 91 · 143 · 154 · 182 · 231 · 273 · 286 · 429 · 462 · 546 · 858 · 1001 · 2002 · 3003 · 6006

Aliquot sum (sum of proper divisors): 10,122

Factor pairs (a × b = 6,006)

1 × 6006

2 × 3003

3 × 2002

6 × 1001

7 × 858

11 × 546

13 × 462

14 × 429

21 × 286

22 × 273

26 × 231

33 × 182

39 × 154

42 × 143

66 × 91

77 × 78

First multiples

6,006 · 12,012 · 18,018 · 24,024 · 30,030 · 36,036 · 42,042 · 48,048 · 54,054 · 60,060

Representations

In words: six thousand six
Ordinal: 6006th
Binary: 1011101110110
Octal: 13566
Hexadecimal: 1776

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6006, here are decompositions:

19 + 5987 = 6006
53 + 5953 = 6006
67 + 5939 = 6006
79 + 5927 = 6006
83 + 5923 = 6006
103 + 5903 = 6006
109 + 5897 = 6006
127 + 5879 = 6006

Showing the first eight; more decompositions exist.

Hex color

#001776

RGB(0, 23, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.118.