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Number

1,086

1,086 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Flippable Recamán's Sequence Semiperfect Number Smith Number Sphenic Number Squarefree Year

Notable events — 1086 AD

  1. Undated William the Conqueror commissions the Domesday Book, a comprehensive survey of England.

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
Friday
January 1, 1086
Ended on
Friday
December 31, 1086
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
940
940 years before 2026.

In other calendars

Hebrew
4846 / 4847 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
478 / 479 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1629 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
464 / 465 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1078 / 1079 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1008 / 1007 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
6,801
Flips to (rotate 180°)
9,801
Recamán's sequence
a(4,247) = 1,086
Square (n²)
1,179,396
Cube (n³)
1,280,824,056
Divisor count
8
σ(n) — sum of divisors
2,184
φ(n) — Euler's totient
360
Sum of prime factors
186

Primality

Prime factorization: 2 × 3 × 181

Nearest primes: 1,069 (−17) · 1,087 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 181 · 362 · 543 (half) · 1086
Aliquot sum (sum of proper divisors): 1,098
Factor pairs (a × b = 1,086)
1 × 1086
2 × 543
3 × 362
6 × 181
First multiples
1,086 · 2,172 (double) · 3,258 · 4,344 · 5,430 · 6,516 · 7,602 · 8,688 · 9,774 · 10,860

Sums & aliquot sequence

As consecutive integers: 361 + 362 + 363 270 + 271 + 272 + 273 85 + 86 + … + 96
Aliquot sequence: 1,086 1,098 1,320 3,000 6,360 13,080 26,520 64,200 136,680 303,960 668,040 1,448,760 2,897,880 6,778,920 14,760,600 31,761,720 75,003,840 — unresolved within range

Representations

In words
one thousand eighty-six
Ordinal
1086th
Roman numeral
MLXXXVI
Binary
10000111110
Octal
2076
Hexadecimal
0x43E
Base64
BD4=
One's complement
64,449 (16-bit)
In other bases
ternary (3) 1111020
quaternary (4) 100332
quinary (5) 13321
senary (6) 5010
septenary (7) 3111
nonary (9) 1436
undecimal (11) 8a8
duodecimal (12) 766
tridecimal (13) 657
tetradecimal (14) 578
pentadecimal (15) 4c6

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵απϛʹ
Mayan (base 20)
𝋢·𝋮·𝋦
Chinese
一千零八十六
Chinese (financial)
壹仟零捌拾陸
In other modern scripts
Eastern Arabic ١٠٨٦ Devanagari १०८६ Bengali ১০৮৬ Tamil ௧௦௮௬ Thai ๑๐๘๖ Tibetan ༡༠༨༦ Khmer ១០៨៦ Lao ໑໐໘໖ Burmese ၁၀၈၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,086 = 2
e — Euler's number (e)
Digit 1,086 = 1
φ — Golden ratio (φ)
Digit 1,086 = 6
√2 — Pythagoras's (√2)
Digit 1,086 = 5
ln 2 — Natural log of 2
Digit 1,086 = 1
γ — Euler-Mascheroni (γ)
Digit 1,086 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1086, here are decompositions:

  • 17 + 1069 = 1086
  • 23 + 1063 = 1086
  • 37 + 1049 = 1086
  • 47 + 1039 = 1086
  • 53 + 1033 = 1086
  • 67 + 1019 = 1086
  • 73 + 1013 = 1086
  • 89 + 997 = 1086

Showing the first eight; more decompositions exist.

Unicode codepoint
о
Cyrillic Small Letter O
U+043E
Lowercase letter (Ll)

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

Hex color
#00043E
RGB(0, 4, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.62.

Address
0.0.4.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.62

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

Position in π

The digit sequence 1086 first appears in π at position 7,450 of the decimal expansion (the 7,450ordinal-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.