Number

1,086

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

1,086 (one thousand eighty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 181. Its proper divisors sum to 1,098, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MLXXXVI and in binary, 10000111110.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,074 1,075 1,076 1,077 1,078 1,079 1,080 1,081 1,082 1,083 1,084 1,085 1,086 1,087 1,088 1,089 1,090 1,091 1,092 1,093 1,094 1,095 1,096 1,097 1,098

less more

Notable events — 1086 AD

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

Continued fraction of √n

√1,086 = [32; (1, 20, 1, 64)]

Period length 4 — the block in parentheses repeats forever.

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)
Scientific notation: 1.086 × 10³
As a duration: 1,086 s = 18 minutes, 6 seconds

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

Palindromic in base 11

As an angle

1,086° = 3 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

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

Cyrillic Small Letter O

U+043E

Lowercase letter (Ll)

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

Lookup U+043E on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,086 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -35¢)

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.

Look up 1086 on Pi Search ↗