Live analysis

4,004

4,004 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 Happy Number Palindrome

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digital root: 8
Palindrome: Yes
Divisor count: 24
σ(n) — sum of divisors: 9,408

Primality

Prime factorization: 2 ² × 7 × 11 × 13

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 11 · 13 · 14 · 22 · 26 · 28 · 44 · 52 · 77 · 91 · 143 · 154 · 182 · 286 · 308 · 364 · 572 · 1001 · 2002 · 4004

Aliquot sum (sum of proper divisors): 5,404

Factor pairs (a × b = 4,004)

1 × 4004

2 × 2002

4 × 1001

7 × 572

11 × 364

13 × 308

14 × 286

22 × 182

26 × 154

28 × 143

44 × 91

52 × 77

First multiples

4,004 · 8,008 · 12,012 · 16,016 · 20,020 · 24,024 · 28,028 · 32,032 · 36,036 · 40,040

Representations

In words: four thousand four
Ordinal: 4004th
Binary: 111110100100
Octal: 7644
Hexadecimal: FA4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4004, here are decompositions:

3 + 4001 = 4004
37 + 3967 = 4004
61 + 3943 = 4004
73 + 3931 = 4004
97 + 3907 = 4004
127 + 3877 = 4004
151 + 3853 = 4004
157 + 3847 = 4004

Showing the first eight; more decompositions exist.

Unicode codepoint

ྤ

U+0FA4

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE A4 (3 bytes).

Lookup U+0FA4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FA4

RGB(0, 15, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.164.