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Number

1,087

1,087 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Self Number Sexy Prime Squarefree Year

Historical context — 1087 AD

Calendar year

Year 1087 (MLXXXVII) was a common year starting on Friday of the Julian calendar.

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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
Saturday
January 1, 1087
Ended on
Saturday
December 31, 1087
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
939
939 years before 2026.

In other calendars

Hebrew
4847 / 4848 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
479 / 480 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1630 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
465 / 466 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1079 / 1080 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1009 / 1008 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
7,801
Recamán's sequence
a(4,245) = 1,087
Square (n²)
1,181,569
Cube (n³)
1,284,365,503
Divisor count
2
σ(n) — sum of divisors
1,088
φ(n) — Euler's totient
1,086

Primality

1,087 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1087
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,087)
1 × 1087
First multiples
1,087 · 2,174 (double) · 3,261 · 4,348 · 5,435 · 6,522 · 7,609 · 8,696 · 9,783 · 10,870

Sums & aliquot sequence

As consecutive integers: 543 + 544

Representations

In words
one thousand eighty-seven
Ordinal
1087th
Roman numeral
MLXXXVII
Binary
10000111111
Octal
2077
Hexadecimal
0x43F
Base64
BD8=
One's complement
64,448 (16-bit)
In other bases
ternary (3) 1111021
quaternary (4) 100333
quinary (5) 13322
senary (6) 5011
septenary (7) 3112
nonary (9) 1437
undecimal (11) 8a9
duodecimal (12) 767
tridecimal (13) 658
tetradecimal (14) 579
pentadecimal (15) 4c7

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵απζʹ
Mayan (base 20)
𝋢·𝋮·𝋧
Chinese
一千零八十七
Chinese (financial)
壹仟零捌拾柒
In other modern scripts
Eastern Arabic ١٠٨٧ Devanagari १०८७ Bengali ১০৮৭ Tamil ௧௦௮௭ Thai ๑๐๘๗ Tibetan ༡༠༨༧ Khmer ១០៨៧ Lao ໑໐໘໗ Burmese ၁၀၈၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,087 = 1
e — Euler's number (e)
Digit 1,087 = 6
φ — Golden ratio (φ)
Digit 1,087 = 4
√2 — Pythagoras's (√2)
Digit 1,087 = 6
ln 2 — Natural log of 2
Digit 1,087 = 1
γ — Euler-Mascheroni (γ)
Digit 1,087 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,069 (gap of 18)
  • Next prime: 1,091 (gap of 4)

Pair status: cousin with 1091.

Unicode codepoint
п
Cyrillic Small Letter Pe
U+043F
Lowercase letter (Ll)

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

Hex color
#00043F
RGB(0, 4, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.63.

Address
0.0.4.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.63

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

Position in π

The digit sequence 1087 first appears in π at position 10,281 of the decimal expansion (the 10,281ordinal-suffix:st 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.