1,108
1,108 is a composite number, even, a calendar year.
1,108 (one thousand one hundred eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 277. Written other ways, in Roman numerals it is MCVIII and in binary, 10001010100.
Interestingness
Historical context — 1108 AD
Calendar year
Year 1108 (MCVIII) was a leap year starting on Wednesday of the Julian calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Wednesday
January 1, 1108
- Ended on
-
Thursday
December 31, 1108
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1100s
1100–1109
- Century
-
12th century
1101–1200
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
918
918 years before 2026.
In other calendars
- Hebrew
-
4868 / 4869 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
501 / 502 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1651 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
486 / 487 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1100 / 1101 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1030 / 1029 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 8,011
- Flips to (rotate 180°)
- 8,011
- Recamán's sequence
- a(1,956) = 1,108
- Square (n²)
- 1,227,664
- Cube (n³)
- 1,360,251,712
- Divisor count
- 6
- σ(n) — sum of divisors
- 1,946
- φ(n) — Euler's totient
- 552
- Sum of prime factors
- 281
Primality
Prime factorization: 2 2 × 277
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,108 = [33; (3, 2, 21, 1, 3, 4, 1, 6, 1, 1, 2, 2, 1, 3, 2, 5, 9, 3, 16, 3, 9, 5, 2, 3, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one thousand one hundred eight
- Ordinal
- 1108th
- Roman numeral
- MCVIII
- Binary
- 10001010100
- Octal
- 2124
- Hexadecimal
- 0x454
- Base64
- BFQ=
- One's complement
- 64,427 (16-bit)
- Scientific notation
- 1.108 × 10³
- As a duration
- 1,108 s = 18 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αρηʹ
- Mayan (base 20)
- 𝋢·𝋯·𝋨
- Chinese
- 一千一百零八
- Chinese (financial)
- 壹仟壹佰零捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,108 = 7
- e — Euler's number (e)
- Digit 1,108 = 0
- φ — Golden ratio (φ)
- Digit 1,108 = 3
- √2 — Pythagoras's (√2)
- Digit 1,108 = 5
- ln 2 — Natural log of 2
- Digit 1,108 = 6
- γ — Euler-Mascheroni (γ)
- Digit 1,108 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1108, here are decompositions:
- 5 + 1103 = 1108
- 11 + 1097 = 1108
- 17 + 1091 = 1108
- 47 + 1061 = 1108
- 59 + 1049 = 1108
- 89 + 1019 = 1108
- 131 + 977 = 1108
- 137 + 971 = 1108
Showing the first eight; more decompositions exist.
UTF-8 encoding: D1 94 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.84.
- Address
- 0.0.4.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.84
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,108 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -1¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +36¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, exact)
The digit sequence 1108 first appears in π at position 7,449 of the decimal expansion (the 7,449ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.