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Number

1,108

1,108 is a composite number, even, a calendar year.

Deficient Number Evil Number Flippable Recamán's Sequence Year

Historical context — 1108 AD

Calendar year

Year 1108 (MCVIII) was a leap year starting on Wednesday 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, 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

Nearest primes: 1,103 (−5) · 1,109 (+1)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 277 · 554 (half) · 1108
Aliquot sum (sum of proper divisors): 838
Factor pairs (a × b = 1,108)
1 × 1108
2 × 554
4 × 277
First multiples
1,108 · 2,216 (double) · 3,324 · 4,432 · 5,540 · 6,648 · 7,756 · 8,864 · 9,972 · 11,080

Sums & aliquot sequence

As a sum of two squares: 18² + 28²
As consecutive integers: 135 + 136 + … + 142
Aliquot sequence: 1,108 838 422 214 110 106 56 64 63 41 1 0 — terminates at zero

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)
In other bases
ternary (3) 1112001
quaternary (4) 101110
quinary (5) 13413
senary (6) 5044
septenary (7) 3142
nonary (9) 1461
undecimal (11) 918
duodecimal (12) 784
tridecimal (13) 673
tetradecimal (14) 592
pentadecimal (15) 4dd

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
In other modern scripts
Eastern Arabic ١١٠٨ Devanagari ११०८ Bengali ১১০৮ Tamil ௧௧௦௮ Thai ๑๑๐๘ Tibetan ༡༡༠༨ Khmer ១១០៨ Lao ໑໑໐໘ Burmese ၁၁၀၈

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 decomposition

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.

Unicode codepoint
є
Cyrillic Small Letter Ukrainian Ie
U+0454
Lowercase letter (Ll)

UTF-8 encoding: D1 94 (2 bytes).

Hex color
#000454
RGB(0, 4, 84)
IPv4 address

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.

Position in π

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.