1,084
1,084 is a composite number, even, a calendar year.
1,084 (one thousand eighty-four) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 271. Written other ways, in Roman numerals it is MLXXXIV and in binary, 10000111100.
Interestingness
Historical context — 1084 AD
Calendar year
Year 1084 (MLXXXIV) was a leap year starting on Monday of the Julian calendar.
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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
-
Tuesday
January 1, 1084
- Ended on
-
Wednesday
December 31, 1084
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1080s
1080–1089
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
942
942 years before 2026.
In other calendars
- Hebrew
-
4844 / 4845 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
476 / 477 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1627 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
462 / 463 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1076 / 1077 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1006 / 1005 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 271
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,084 = [32; (1, 12, 5, 2, 2, 3, 2, 6, 1, 7, 2, 1, 2, 1, 3, 1, 1, 1, 21, 3, 4, 16, 4, 3, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one thousand eighty-four
- Ordinal
- 1084th
- Roman numeral
- MLXXXIV
- Binary
- 10000111100
- Octal
- 2074
- Hexadecimal
- 0x43C
- Base64
- BDw=
- One's complement
- 64,451 (16-bit)
- Scientific notation
- 1.084 × 10³
- As a duration
- 1,084 s = 18 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵απδʹ
- Mayan (base 20)
- 𝋢·𝋮·𝋤
- Chinese
- 一千零八十四
- Chinese (financial)
- 壹仟零捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,084 = 9
- e — Euler's number (e)
- Digit 1,084 = 0
- φ — Golden ratio (φ)
- Digit 1,084 = 0
- √2 — Pythagoras's (√2)
- Digit 1,084 = 8
- ln 2 — Natural log of 2
- Digit 1,084 = 0
- γ — Euler-Mascheroni (γ)
- Digit 1,084 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1084, here are decompositions:
- 23 + 1061 = 1084
- 53 + 1031 = 1084
- 71 + 1013 = 1084
- 101 + 983 = 1084
- 107 + 977 = 1084
- 113 + 971 = 1084
- 131 + 953 = 1084
- 137 + 947 = 1084
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 BC (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.60.
- Address
- 0.0.4.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.60
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,084 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -39¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -1¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -38¢)
The digit sequence 1084 first appears in π at position 15,927 of the decimal expansion (the 15,927ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.