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Number

1,084

1,084 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

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

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
4,801
Recamán's sequence
a(4,251) = 1,084
Square (n²)
1,175,056
Cube (n³)
1,273,760,704
Divisor count
6
σ(n) — sum of divisors
1,904
φ(n) — Euler's totient
540
Sum of prime factors
275

Primality

Prime factorization: 2 2 × 271

Nearest primes: 1,069 (−15) · 1,087 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 271 · 542 (half) · 1084
Aliquot sum (sum of proper divisors): 820
Factor pairs (a × b = 1,084)
1 × 1084
2 × 542
4 × 271
First multiples
1,084 · 2,168 (double) · 3,252 · 4,336 · 5,420 · 6,504 · 7,588 · 8,672 · 9,756 · 10,840

Sums & aliquot sequence

As consecutive integers: 132 + 133 + … + 139
Aliquot sequence: 1,084 820 944 916 694 350 394 200 265 59 1 0 — terminates at zero

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)
In other bases
ternary (3) 1111011
quaternary (4) 100330
quinary (5) 13314
senary (6) 5004
septenary (7) 3106
nonary (9) 1434
undecimal (11) 8a6
duodecimal (12) 764
tridecimal (13) 655
tetradecimal (14) 576
pentadecimal (15) 4c4

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
In other modern scripts
Eastern Arabic ١٠٨٤ Devanagari १०८४ Bengali ১০৮৪ Tamil ௧௦௮௪ Thai ๑๐๘๔ Tibetan ༡༠༨༤ Khmer ១០៨៤ Lao ໑໐໘໔ Burmese ၁၀၈၄

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 decomposition

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.

Unicode codepoint
м
Cyrillic Small Letter Em
U+043C
Lowercase letter (Ll)

UTF-8 encoding: D0 BC (2 bytes).

Hex color
#00043C
RGB(0, 4, 60)
IPv4 address

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.

Position in π

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.