number.wiki
Number

1,096

1,096 is a composite number, even, a calendar year.

Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1096 AD

Calendar year

Year 1096 (MXCVI) was a leap year starting on Tuesday 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
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

Nearest primes: 1,093 (−3) · 1,097 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 137 · 274 · 548 (half) · 1096
Aliquot sum (sum of proper divisors): 974
Factor pairs (a × b = 1,096)
1 × 1096
2 × 548
4 × 274
8 × 137
First multiples
1,096 · 2,192 (double) · 3,288 · 4,384 · 5,480 · 6,576 · 7,672 · 8,768 · 9,864 · 10,960

Sums & aliquot sequence

As a sum of two squares: 14² + 30²
As consecutive integers: 61 + 62 + … + 76
Aliquot sequence: 1,096 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

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)
In other bases
ternary (3) 1111121
quaternary (4) 101020
quinary (5) 13341
senary (6) 5024
septenary (7) 3124
nonary (9) 1447
undecimal (11) 907
duodecimal (12) 774
tridecimal (13) 664
tetradecimal (14) 584
pentadecimal (15) 4d1

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
In other modern scripts
Eastern Arabic ١٠٩٦ Devanagari १०९६ Bengali ১০৯৬ Tamil ௧௦௯௬ Thai ๑๐๙๖ Tibetan ༡༠༩༦ Khmer ១០៩៦ Lao ໑໐໙໖ Burmese ၁၀၉၆

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 decomposition

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.

Unicode codepoint
ш
Cyrillic Small Letter Sha
U+0448
Lowercase letter (Ll)

UTF-8 encoding: D1 88 (2 bytes).

Hex color
#000448
RGB(0, 4, 72)
IPv4 address

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001096
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

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.