Live analysis

8,008

8,008 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 Octagonal Palindrome Strobogrammatic

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digital root: 7
Palindrome: Yes
Divisor count: 32
σ(n) — sum of divisors: 20,160

Primality

Prime factorization: 2 ³ × 7 × 11 × 13

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 11 · 13 · 14 · 22 · 26 · 28 · 44 · 52 · 56 · 77 · 88 · 91 · 104 · 143 · 154 · 182 · 286 · 308 · 364 · 572 · 616 · 728 · 1001 · 1144 · 2002 · 4004 · 8008

Aliquot sum (sum of proper divisors): 12,152

Factor pairs (a × b = 8,008)

1 × 8008

2 × 4004

4 × 2002

7 × 1144

8 × 1001

11 × 728

13 × 616

14 × 572

22 × 364

26 × 308

28 × 286

44 × 182

52 × 154

56 × 143

77 × 104

88 × 91

First multiples

8,008 · 16,016 · 24,024 · 32,032 · 40,040 · 48,048 · 56,056 · 64,064 · 72,072 · 80,080

Representations

In words: eight thousand eight
Ordinal: 8008th
Binary: 1111101001000
Octal: 17510
Hexadecimal: 1F48

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8008, here are decompositions:

59 + 7949 = 8008
71 + 7937 = 8008
89 + 7919 = 8008
101 + 7907 = 8008
107 + 7901 = 8008
131 + 7877 = 8008
167 + 7841 = 8008
179 + 7829 = 8008

Showing the first eight; more decompositions exist.

Unicode codepoint

Ὀ

U+1F48

Uppercase letter (Lu)

UTF-8 encoding: E1 BD 88 (3 bytes).

Lookup U+1F48 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F48

RGB(0, 31, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.72.