Live analysis

8,004

8,004 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 Harshad / Niven

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digital root: 3
Palindrome: No
Divisor count: 24
σ(n) — sum of divisors: 20,160

Primality

Prime factorization: 2 ² × 3 × 23 × 29

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 23 · 29 · 46 · 58 · 69 · 87 · 92 · 116 · 138 · 174 · 276 · 348 · 667 · 1334 · 2001 · 2668 · 4002 · 8004

Aliquot sum (sum of proper divisors): 12,156

Factor pairs (a × b = 8,004)

1 × 8004

2 × 4002

3 × 2668

4 × 2001

6 × 1334

12 × 667

23 × 348

29 × 276

46 × 174

58 × 138

69 × 116

87 × 92

First multiples

8,004 · 16,008 · 24,012 · 32,016 · 40,020 · 48,024 · 56,028 · 64,032 · 72,036 · 80,040

Representations

In words: eight thousand four
Ordinal: 8004th
Binary: 1111101000100
Octal: 17504
Hexadecimal: 1F44

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8004, here are decompositions:

11 + 7993 = 8004
41 + 7963 = 8004
53 + 7951 = 8004
67 + 7937 = 8004
71 + 7933 = 8004
97 + 7907 = 8004
103 + 7901 = 8004
127 + 7877 = 8004

Showing the first eight; more decompositions exist.

Unicode codepoint

ὄ

Greek Small Letter Omicron With Psili And Oxia

U+1F44

Lowercase letter (Ll)

UTF-8 encoding: E1 BD 84 (3 bytes).

Lookup U+1F44 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F44

RGB(0, 31, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.68.