1,096
1,096 is a composite number, even, a calendar year.
1,096 (one thousand ninety-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 137. Written other ways, in Roman numerals it is MXCVI and in binary, 10001001000.
Interestingness
Historical context — 1096 AD
Calendar year
Year 1096 (MXCVI) was a leap year starting on Tuesday 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, 1096
- Ended on
-
Thursday
December 31, 1096
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1090s
1090–1099
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
930
930 years before 2026.
In other calendars
- Hebrew
-
4856 / 4857 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
488 / 490 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1639 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
474 / 475 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1088 / 1089 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1018 / 1017 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 6,901
- Flips to (rotate 180°)
- 9,601
- Recamán's sequence
- a(300) = 1,096
- Square (n²)
- 1,201,216
- Cube (n³)
- 1,316,532,736
- Divisor count
- 8
- σ(n) — sum of divisors
- 2,070
- φ(n) — Euler's totient
- 544
- Sum of prime factors
- 143
Primality
Prime factorization: 2 3 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,096 = [33; (9, 2, 3, 1, 15, 1, 3, 2, 9, 66)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one thousand ninety-six
- Ordinal
- 1096th
- Roman numeral
- MXCVI
- Binary
- 10001001000
- Octal
- 2110
- Hexadecimal
- 0x448
- Base64
- BEg=
- One's complement
- 64,439 (16-bit)
- Scientific notation
- 1.096 × 10³
- As a duration
- 1,096 s = 18 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αϟϛʹ
- Mayan (base 20)
- 𝋢·𝋮·𝋰
- Chinese
- 一千零九十六
- Chinese (financial)
- 壹仟零玖拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,096 = 9
- e — Euler's number (e)
- Digit 1,096 = 5
- φ — Golden ratio (φ)
- Digit 1,096 = 7
- √2 — Pythagoras's (√2)
- Digit 1,096 = 6
- ln 2 — Natural log of 2
- Digit 1,096 = 7
- γ — Euler-Mascheroni (γ)
- Digit 1,096 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1096, here are decompositions:
- 3 + 1093 = 1096
- 5 + 1091 = 1096
- 47 + 1049 = 1096
- 83 + 1013 = 1096
- 113 + 983 = 1096
- 149 + 947 = 1096
- 167 + 929 = 1096
- 233 + 863 = 1096
Showing the first eight; more decompositions exist.
UTF-8 encoding: D1 88 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.72.
- Address
- 0.0.4.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.72
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,096 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -20¢)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +18¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -19¢)
The digit sequence 1096 first appears in π at position 2,514 of the decimal expansion (the 2,514ordinal-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.