Number

2,003

2,003 is a prime, odd, a calendar year.

2,003 (two thousand three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMIII and in binary, 11111010011.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Year

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,991 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

less more

Notable events — 2003 AD

Feb 1 The Space Shuttle Columbia disintegrates during re-entry; all seven astronauts die.
Mar 12 The WHO issues a global alert on the SARS coronavirus outbreak.
Mar 20 A US-led coalition invades Iraq, beginning the Iraq War.
Apr 14 The Human Genome Project is declared complete.
Dec 13 Saddam Hussein is captured by US forces near Tikrit, Iraq.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 2003
Ended on: Wednesday
December 31, 2003
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 20
Sunday, April 20, 2003
Decade: 2000s
2000–2009
Century: 21st century
2001–2100
Millennium: 3rd millennium
2001–3000
Years ago: 23
23 years before 2026.

In other calendars

Hebrew: 5763 / 5764 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1423 / 1424 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2546 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1381 / 1382 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1995 / 1996 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1925 / 1924 Saka
Indian national calendar; year starts in March.
Japanese: Heisei 15
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Odd
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 3,002
Recamán's sequence: a(3,745) = 2,003
Square (n²): 4,012,009
Cube (n³): 8,036,054,027
Divisor count: 2
σ(n) — sum of divisors: 2,004
φ(n) — Euler's totient: 2,002

Primality

2,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2003

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,003)

1 × 2003

First multiples

2,003 · 4,006 (double) · 6,009 · 8,012 · 10,015 · 12,018 · 14,021 · 16,024 · 18,027 · 20,030

Sums & aliquot sequence

As consecutive integers: 1,001 + 1,002

Continued fraction of √n

√2,003 = [44; (1, 3, 12, 1, 1, 6, 2, 1, 2, 1, 3, 6, 7, 1, 43, 1, 7, 6, 3, 1, 2, 1, 2, 6, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: two thousand three
Ordinal: 2003rd
Roman numeral: MMIII
Binary: 11111010011
Octal: 3723
Hexadecimal: 0x7D3
Base64: B9M=
One's complement: 63,532 (16-bit)
Scientific notation: 2.003 × 10³
As a duration: 2,003 s = 33 minutes, 23 seconds

In other bases

ternary (3) 2202012

quaternary (4) 133103

quinary (5) 31003

senary (6) 13135

septenary (7) 5561

nonary (9) 2665

undecimal (11) 1561

duodecimal (12) 11ab

tridecimal (13) bb1

tetradecimal (14) a31

pentadecimal (15) 8d8

Palindromic in base 15

As an angle

2,003° = 5 × 360° + 203°

203° ≈ 3.543 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓏺𓏺𓏺
Greek (Milesian): ͵βγʹ
Mayan (base 20): 𝋥·𝋠·𝋣
Chinese: 二千零三
Chinese (financial): 貳仟零參

In other modern scripts

Eastern Arabic ٢٠٠٣ Devanagari २००३ Bengali ২০০৩ Tamil ௨௦௦௩ Thai ๒๐๐๓ Tibetan ༢༠༠༣ Khmer ២០០៣ Lao ໒໐໐໓ Burmese ၂၀၀၃

Digit at this position in famous constants

π — Pi (π): Digit 2,003 = 4
e — Euler's number (e): Digit 2,003 = 5
φ — Golden ratio (φ): Digit 2,003 = 6
√2 — Pythagoras's (√2): Digit 2,003 = 4
ln 2 — Natural log of 2: Digit 2,003 = 7
γ — Euler-Mascheroni (γ): Digit 2,003 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,999 (gap of 4)
Next prime: 2,011 (gap of 8)

Pair status: cousin with 1999.

Unicode codepoint

Nko Letter Ba

U+07D3

Other letter (Lo)

UTF-8 encoding: DF 93 (2 bytes).

Lookup U+07D3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0007D3

RGB(0, 7, 211)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.211.

Address: 0.0.7.211
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.211

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

Musical pitch

Heard as a frequency, 2,003 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +24¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +25¢)

Position in π

The digit sequence 2003 first appears in π at position 25,410 of the decimal expansion (the 25,410ordinal-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 2003 on Pi Search ↗