Number

2,004

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

2,004 (two thousand four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 167. Its proper divisors sum to 2,700, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMIV and in binary, 11111010100.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,992 1,993 1,994 1,995 1,996 1,997 1,998 1,999 2,000 2,001 2,002 2,003 2,004 2,005 2,006 2,007 2,008 2,009 2,010 2,011 2,012 2,013 2,014 2,015 2,016

less more

Notable events — 2004 AD

Jan 4 NASA's Spirit rover lands on Mars.
Mar 11 Al-Qaeda-linked bombings on Madrid commuter trains kill 192.
Apr 1 Google launches Gmail.
May 1 Ten nations join the European Union in its largest-ever expansion.
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

Continued fraction of √n

√2,004 = [44; (1, 3, 3, 1, 1, 1, 3, 1, 5, 5, 2, 2, 1, 2, 1, 6, 1, 2, 1, 2, 2, 5, 5, 1, …)]

Period length 32 — the block in parentheses repeats forever.

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)
Scientific notation: 2.004 × 10³
As a duration: 2,004 s = 33 minutes, 24 seconds

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

As an angle

2,004° = 5 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

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

Nko Letter Pa

U+07D4

Other letter (Lo)

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

Lookup U+07D4 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 2,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +26¢)

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.

Look up 2004 on Pi Search ↗