Number

1,092

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

1,092 (one thousand ninety-two) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 13. Its proper divisors sum to 2,044, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MXCII and in binary, 10001000100.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 1,099 1,100 1,101 1,102 1,103 1,104

less more

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 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

Continued fraction of √n

√1,092 = [33; (22, 66)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.092 × 10³
As a duration: 1,092 s = 18 minutes, 12 seconds

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

Palindromic in base 16

As an angle

1,092° = 3 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

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

Cyrillic Small Letter Ef

U+0444

Lowercase letter (Ll)

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

Lookup U+0444 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,092 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -26¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +11¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -25¢)

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.

Look up 1092 on Pi Search ↗