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Number

1,085

1,085 is a composite number, odd, a calendar year.

1,085 (one thousand eighty-five) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 5 × 7 × 31. Written other ways, in Roman numerals it is MLXXXV and in binary, 10000111101.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

Historical context — 1085 AD

Calendar year

Year 1085 (MLXXXV) was a common year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1085
Ended on
Thursday
December 31, 1085
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1080s
1080–1089
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
941
941 years before 2026.

In other calendars

Hebrew
4845 / 4846 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
477 / 478 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Ox
Sexagenary cycle position 2 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1628 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
463 / 464 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1077 / 1078 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1007 / 1006 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
5,801
Recamán's sequence
a(4,249) = 1,085
Square (n²)
1,177,225
Cube (n³)
1,277,289,125
Divisor count
8
σ(n) — sum of divisors
1,536
φ(n) — Euler's totient
720
Sum of prime factors
43

Primality

Prime factorization: 5 × 7 × 31

Nearest primes: 1,069 (−16) · 1,087 (+2)

Divisors & multiples

All divisors (8)
1 · 5 · 7 · 31 · 35 · 155 · 217 · 1085
Aliquot sum (sum of proper divisors): 451
Factor pairs (a × b = 1,085)
1 × 1085
5 × 217
7 × 155
31 × 35
First multiples
1,085 · 2,170 (double) · 3,255 · 4,340 · 5,425 · 6,510 · 7,595 · 8,680 · 9,765 · 10,850

Sums & aliquot sequence

As consecutive integers: 542 + 543 215 + 216 + 217 + 218 + 219 152 + 153 + … + 158 104 + 105 + … + 113
Aliquot sequence: 1,085 451 53 1 0 — terminates at zero

Continued fraction of √n

√1,085 = [32; (1, 15, 2, 15, 1, 64)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one thousand eighty-five
Ordinal
1085th
Roman numeral
MLXXXV
Binary
10000111101
Octal
2075
Hexadecimal
0x43D
Base64
BD0=
One's complement
64,450 (16-bit)
Scientific notation
1.085 × 10³
As a duration
1,085 s = 18 minutes, 5 seconds
In other bases
ternary (3) 1111012
quaternary (4) 100331
quinary (5) 13320
senary (6) 5005
septenary (7) 3110
nonary (9) 1435
undecimal (11) 8a7
duodecimal (12) 765
tridecimal (13) 656
tetradecimal (14) 577
pentadecimal (15) 4c5
Palindromic in base 6, base 13

As an angle

1,085° = 3 × 360° + 5°
5° ≈ 0.087 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵απεʹ
Mayan (base 20)
𝋢·𝋮·𝋥
Chinese
一千零八十五
Chinese (financial)
壹仟零捌拾伍
In other modern scripts
Eastern Arabic ١٠٨٥ Devanagari १०८५ Bengali ১০৮৫ Tamil ௧௦௮௫ Thai ๑๐๘๕ Tibetan ༡༠༨༥ Khmer ១០៨៥ Lao ໑໐໘໕ Burmese ၁၀၈၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,085 = 7
e — Euler's number (e)
Digit 1,085 = 4
φ — Golden ratio (φ)
Digit 1,085 = 0
√2 — Pythagoras's (√2)
Digit 1,085 = 7
ln 2 — Natural log of 2
Digit 1,085 = 6
γ — Euler-Mascheroni (γ)
Digit 1,085 = 0

Also seen as

Unicode codepoint
н
Cyrillic Small Letter En
U+043D
Lowercase letter (Ll)

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

Hex color
#00043D
RGB(0, 4, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.61.

Address
0.0.4.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.61

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

Musical pitch

Heard as a frequency, 1,085 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -37¢)
  • Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, exact)
  • Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -36¢)
Position in π

The digit sequence 1085 first appears in π at position 7,583 of the decimal expansion (the 7,583ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.