1,106
1,106 is a composite number, even, a calendar year.
1,106 (one thousand one hundred six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 79. Written other ways, in Roman numerals it is MCVI and in binary, 10001010010.
Interestingness
Historical context — 1106 AD
Calendar year
Year 1106 (MCVI) was a common year starting on Monday 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
-
Monday
January 1, 1106
- Ended on
-
Monday
December 31, 1106
- 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
-
920
920 years before 2026.
In other calendars
- Hebrew
-
4866 / 4867 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
499 / 500 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1649 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
484 / 485 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1098 / 1099 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1028 / 1027 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 6,011
- Flips to (rotate 180°)
- 9,011
- Recamán's sequence
- a(1,960) = 1,106
- Square (n²)
- 1,223,236
- Cube (n³)
- 1,352,899,016
- Divisor count
- 8
- σ(n) — sum of divisors
- 1,920
- φ(n) — Euler's totient
- 468
- Sum of prime factors
- 88
Primality
Prime factorization: 2 × 7 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,106 = [33; (3, 1, 8, 1, 3, 66)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one thousand one hundred six
- Ordinal
- 1106th
- Roman numeral
- MCVI
- Binary
- 10001010010
- Octal
- 2122
- Hexadecimal
- 0x452
- Base64
- BFI=
- One's complement
- 64,429 (16-bit)
- Scientific notation
- 1.106 × 10³
- As a duration
- 1,106 s = 18 minutes, 26 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αρϛʹ
- Mayan (base 20)
- 𝋢·𝋯·𝋦
- Chinese
- 一千一百零六
- Chinese (financial)
- 壹仟壹佰零陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,106 = 8
- e — Euler's number (e)
- Digit 1,106 = 6
- φ — Golden ratio (φ)
- Digit 1,106 = 7
- √2 — Pythagoras's (√2)
- Digit 1,106 = 2
- ln 2 — Natural log of 2
- Digit 1,106 = 4
- γ — Euler-Mascheroni (γ)
- Digit 1,106 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1106, here are decompositions:
- 3 + 1103 = 1106
- 13 + 1093 = 1106
- 19 + 1087 = 1106
- 37 + 1069 = 1106
- 43 + 1063 = 1106
- 67 + 1039 = 1106
- 73 + 1033 = 1106
- 97 + 1009 = 1106
Showing the first eight; more decompositions exist.
UTF-8 encoding: D1 92 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.82.
- Address
- 0.0.4.82
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.82
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,106 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -4¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +33¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -3¢)
The digit sequence 1106 first appears in π at position 13,460 of the decimal expansion (the 13,460ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.