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Number

2,004

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

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Year

Notable events — 2004 AD

  1. Jan 4 NASA's Spirit rover lands on Mars.
  2. Mar 11 Al-Qaeda-linked bombings on Madrid commuter trains kill 192.
  3. Apr 1 Google launches Gmail.
  4. May 1 Ten nations join the European Union in its largest-ever expansion.
  5. Dec 26 A magnitude 9.1 earthquake off Sumatra triggers an Indian Ocean tsunami killing over 230,000.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 2004
Ended on
Friday
December 31, 2004
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 11
Sunday, April 11, 2004
Decade
2000s
2000–2009
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years ago
22
22 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes

In other calendars

Hebrew
5764 / 5765 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1424 / 1425 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2547 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1382 / 1383 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1996 / 1997 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1926 / 1925 Saka
Indian national calendar; year starts in March.
Japanese
Heisei 16
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
4,002
Recamán's sequence
a(3,743) = 2,004
Square (n²)
4,016,016
Cube (n³)
8,048,096,064
Divisor count
12
σ(n) — sum of divisors
4,704
φ(n) — Euler's totient
664
Sum of prime factors
174

Primality

Prime factorization: 2 2 × 3 × 167

Nearest primes: 2,003 (−1) · 2,011 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 167 · 334 · 501 · 668 · 1002 (half) · 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 (double) · 6,012 · 8,016 · 10,020 · 12,024 · 14,028 · 16,032 · 18,036 · 20,040

Sums & aliquot sequence

As consecutive integers: 667 + 668 + 669 247 + 248 + … + 254 72 + 73 + … + 95
Aliquot sequence: 2,004 2,700 5,980 8,132 6,988 5,248 5,462 2,734 1,370 1,114 560 928 962 634 320 442 314 — unresolved within range

Representations

In words
two thousand four
Ordinal
2004th
Roman numeral
MMIV
Binary
11111010100
Octal
3724
Hexadecimal
0x7D4
Base64
B9Q=
One's complement
63,531 (16-bit)
In other bases
ternary (3) 2202020
quaternary (4) 133110
quinary (5) 31004
senary (6) 13140
septenary (7) 5562
nonary (9) 2666
undecimal (11) 1562
duodecimal (12) 11b0
tridecimal (13) bb2
tetradecimal (14) a32
pentadecimal (15) 8d9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βδʹ
Mayan (base 20)
𝋥·𝋠·𝋤
Chinese
二千零四
Chinese (financial)
貳仟零肆
In other modern scripts
Eastern Arabic ٢٠٠٤ Devanagari २००४ Bengali ২০০৪ Tamil ௨௦௦௪ Thai ๒๐๐๔ Tibetan ༢༠༠༤ Khmer ២០០៤ Lao ໒໐໐໔ Burmese ၂၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,004 = 6
e — Euler's number (e)
Digit 2,004 = 9
φ — Golden ratio (φ)
Digit 2,004 = 6
√2 — Pythagoras's (√2)
Digit 2,004 = 4
ln 2 — Natural log of 2
Digit 2,004 = 4
γ — Euler-Mascheroni (γ)
Digit 2,004 = 6

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
Nko Letter Pa
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.

Address
0.0.7.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.212

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 2004 first appears in π at position 7,235 of the decimal expansion (the 7,235ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.