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Number

1,092

1,092 is a composite number, even, a calendar year.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1092 AD

Calendar year

Year 1092 (MXCII) was a leap year starting on Thursday of the Julian calendar.

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

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
Friday
January 1, 1092
Ended on
Saturday
December 31, 1092
Friday the 13ths
1
One Friday the 13th this year.
Decade
1090s
1090–1099
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
934
934 years before 2026.

In other calendars

Hebrew
4852 / 4853 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
484 / 485 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1635 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
470 / 471 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1084 / 1085 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1014 / 1013 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
2,901
Recamán's sequence
a(292) = 1,092
Square (n²)
1,192,464
Cube (n³)
1,302,170,688
Divisor count
24
σ(n) — sum of divisors
3,136
φ(n) — Euler's totient
288
Sum of prime factors
27

Primality

Prime factorization: 2 2 × 3 × 7 × 13

Nearest primes: 1,091 (−1) · 1,093 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 39 · 42 · 52 · 78 · 84 · 91 · 156 · 182 · 273 · 364 · 546 (half) · 1092
Aliquot sum (sum of proper divisors): 2,044
Factor pairs (a × b = 1,092)
1 × 1092
2 × 546
3 × 364
4 × 273
6 × 182
7 × 156
12 × 91
13 × 84
14 × 78
21 × 52
26 × 42
28 × 39
First multiples
1,092 · 2,184 (double) · 3,276 · 4,368 · 5,460 · 6,552 · 7,644 · 8,736 · 9,828 · 10,920

Sums & aliquot sequence

As consecutive integers: 363 + 364 + 365 153 + 154 + … + 159 133 + 134 + … + 140 78 + 79 + … + 90
Aliquot sequence: 1,092 2,044 2,100 4,844 4,900 7,469 1,939 285 195 141 51 21 11 1 0 — terminates at zero

Representations

In words
one thousand ninety-two
Ordinal
1092nd
Roman numeral
MXCII
Binary
10001000100
Octal
2104
Hexadecimal
0x444
Base64
BEQ=
One's complement
64,443 (16-bit)
In other bases
ternary (3) 1111110
quaternary (4) 101010
quinary (5) 13332
senary (6) 5020
septenary (7) 3120
nonary (9) 1443
undecimal (11) 903
duodecimal (12) 770
tridecimal (13) 660
tetradecimal (14) 580
pentadecimal (15) 4cc

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αϟβʹ
Mayan (base 20)
𝋢·𝋮·𝋬
Chinese
一千零九十二
Chinese (financial)
壹仟零玖拾貳
In other modern scripts
Eastern Arabic ١٠٩٢ Devanagari १०९२ Bengali ১০৯২ Tamil ௧௦௯௨ Thai ๑๐๙๒ Tibetan ༡༠༩༢ Khmer ១០៩២ Lao ໑໐໙໒ Burmese ၁၀၉၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,092 = 8
e — Euler's number (e)
Digit 1,092 = 2
φ — Golden ratio (φ)
Digit 1,092 = 0
√2 — Pythagoras's (√2)
Digit 1,092 = 6
ln 2 — Natural log of 2
Digit 1,092 = 0
γ — Euler-Mascheroni (γ)
Digit 1,092 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1092, here are decompositions:

  • 5 + 1087 = 1092
  • 23 + 1069 = 1092
  • 29 + 1063 = 1092
  • 31 + 1061 = 1092
  • 41 + 1051 = 1092
  • 43 + 1049 = 1092
  • 53 + 1039 = 1092
  • 59 + 1033 = 1092

Showing the first eight; more decompositions exist.

Unicode codepoint
ф
Cyrillic Small Letter Ef
U+0444
Lowercase letter (Ll)

UTF-8 encoding: D1 84 (2 bytes).

Hex color
#000444
RGB(0, 4, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.68.

Address
0.0.4.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.68

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

Position in π

The digit sequence 1092 first appears in π at position 9,919 of the decimal expansion (the 9,919ordinal-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.