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Number

2,004

2,004 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Year

Properties

Parity
Even
Digit count
4
Digit sum
6
Digital root
6
Palindrome
No
Divisor count
12
σ(n) — sum of divisors
4,704

Primality

Prime factorization: 2 2 × 3 × 167

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 167 · 334 · 501 · 668 · 1002 · 2004
Aliquot sum (sum of proper divisors): 2,700
Factor pairs (a × b = 2,004)
1 × 2004
2 × 1002
3 × 668
4 × 501
6 × 334
12 × 167
First multiples
2,004 · 4,008 · 6,012 · 8,016 · 10,020 · 12,024 · 14,028 · 16,032 · 18,036 · 20,040

Representations

In words
two thousand four
Ordinal
2004th
Roman numeral
MMIV
Binary
11111010100
Octal
3724
Hexadecimal
7D4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2004, here are decompositions:

  • 5 + 1999 = 2004
  • 7 + 1997 = 2004
  • 11 + 1993 = 2004
  • 17 + 1987 = 2004
  • 31 + 1973 = 2004
  • 53 + 1951 = 2004
  • 71 + 1933 = 2004
  • 73 + 1931 = 2004

Showing the first eight; more decompositions exist.

Unicode codepoint
ߔ
U+07D4
Other letter (Lo)

UTF-8 encoding: DF 94 (2 bytes).

Hex color
#0007D4
RGB(0, 7, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.212.