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Number

1,004

1,004 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1004 AD

Calendar year

Year 1004 (MIV) was a leap year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Sunday
January 1, 1004
Ended on
Monday
December 31, 1004
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1000s
1000–1009
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,022
1022 years before 2026.

In other calendars

Hebrew
4764 / 4765 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
394 / 395 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1547 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
382 / 383 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
996 / 997 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
926 / 925 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
4,001
Recamán's sequence
a(4,411) = 1,004
Square (n²)
1,008,016
Cube (n³)
1,012,048,064
Divisor count
6
σ(n) — sum of divisors
1,764
φ(n) — Euler's totient
500
Sum of prime factors
255

Primality

Prime factorization: 2 2 × 251

Nearest primes: 997 (−7) · 1,009 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 251 · 502 (half) · 1004
Aliquot sum (sum of proper divisors): 760
Factor pairs (a × b = 1,004)
1 × 1004
2 × 502
4 × 251
First multiples
1,004 · 2,008 (double) · 3,012 · 4,016 · 5,020 · 6,024 · 7,028 · 8,032 · 9,036 · 10,040

Sums & aliquot sequence

As consecutive integers: 122 + 123 + … + 129
Aliquot sequence: 1,004 760 1,040 1,564 1,460 1,648 1,576 1,394 874 566 286 218 112 136 134 70 74 — unresolved within range

Representations

In words
one thousand four
Ordinal
1004th
Roman numeral
MIV
Binary
1111101100
Octal
1754
Hexadecimal
0x3EC
Base64
A+w=
One's complement
64,531 (16-bit)
In other bases
ternary (3) 1101012
quaternary (4) 33230
quinary (5) 13004
senary (6) 4352
septenary (7) 2633
nonary (9) 1335
undecimal (11) 833
duodecimal (12) 6b8
tridecimal (13) 5c3
tetradecimal (14) 51a
pentadecimal (15) 46e

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αδʹ
Mayan (base 20)
𝋢·𝋪·𝋤
Chinese
一千零四
Chinese (financial)
壹仟零肆
In other modern scripts
Eastern Arabic ١٠٠٤ Devanagari १००४ Bengali ১০০৪ Tamil ௧௦௦௪ Thai ๑๐๐๔ Tibetan ༡༠༠༤ Khmer ១០០៤ Lao ໑໐໐໔ Burmese ၁၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,004 = 0
e — Euler's number (e)
Digit 1,004 = 1
φ — Golden ratio (φ)
Digit 1,004 = 7
√2 — Pythagoras's (√2)
Digit 1,004 = 9
ln 2 — Natural log of 2
Digit 1,004 = 8
γ — Euler-Mascheroni (γ)
Digit 1,004 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004, here are decompositions:

  • 7 + 997 = 1004
  • 13 + 991 = 1004
  • 37 + 967 = 1004
  • 67 + 937 = 1004
  • 97 + 907 = 1004
  • 127 + 877 = 1004
  • 151 + 853 = 1004
  • 181 + 823 = 1004

Showing the first eight; more decompositions exist.

Unicode codepoint
Ϭ
Coptic Capital Letter Shima
U+03EC
Uppercase letter (Lu)

UTF-8 encoding: CF AC (2 bytes).

Hex color
#0003EC
RGB(0, 3, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.236.

Address
0.0.3.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.236

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

Position in π

The digit sequence 1004 first appears in π at position 3,848 of the decimal expansion (the 3,848ordinal-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.