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Number

1,188

1,188 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 1188 AD

Calendar year

Year 1188 (MCLXXXVIII) was a leap year starting on Friday 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
52
Started on
Friday
January 1, 1188
Ended on
Saturday
December 31, 1188
Friday the 13ths
1
One Friday the 13th this year.
Decade
1180s
1180–1189
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
838
838 years before 2026.

In other calendars

Hebrew
4948 / 4949 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
583 / 584 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1731 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
566 / 567 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1180 / 1181 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1110 / 1109 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
64
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
8,811
Flips to (rotate 180°)
8,811
Recamán's sequence
a(8,612) = 1,188
Square (n²)
1,411,344
Cube (n³)
1,676,676,672
Divisor count
24
σ(n) — sum of divisors
3,360
φ(n) — Euler's totient
360
Sum of prime factors
24

Primality

Prime factorization: 2 2 × 3 3 × 11

Nearest primes: 1,187 (−1) · 1,193 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 27 · 33 · 36 · 44 · 54 · 66 · 99 · 108 · 132 · 198 · 297 · 396 · 594 (half) · 1188
Aliquot sum (sum of proper divisors): 2,172
Factor pairs (a × b = 1,188)
1 × 1188
2 × 594
3 × 396
4 × 297
6 × 198
9 × 132
11 × 108
12 × 99
18 × 66
22 × 54
27 × 44
33 × 36
First multiples
1,188 · 2,376 (double) · 3,564 · 4,752 · 5,940 · 7,128 · 8,316 · 9,504 · 10,692 · 11,880

Sums & aliquot sequence

As consecutive integers: 395 + 396 + 397 145 + 146 + … + 152 128 + 129 + … + 136 103 + 104 + … + 113
Aliquot sequence: 1,188 2,172 2,924 2,620 2,924 — enters a cycle

Representations

In words
one thousand one hundred eighty-eight
Ordinal
1188th
Roman numeral
MCLXXXVIII
Binary
10010100100
Octal
2244
Hexadecimal
0x4A4
Base64
BKQ=
One's complement
64,347 (16-bit)
In other bases
ternary (3) 1122000
quaternary (4) 102210
quinary (5) 14223
senary (6) 5300
septenary (7) 3315
nonary (9) 1560
undecimal (11) 990
duodecimal (12) 830
tridecimal (13) 705
tetradecimal (14) 60c
pentadecimal (15) 543

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρπηʹ
Mayan (base 20)
𝋢·𝋳·𝋨
Chinese
一千一百八十八
Chinese (financial)
壹仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١١٨٨ Devanagari ११८८ Bengali ১১৮৮ Tamil ௧௧௮௮ Thai ๑๑๘๘ Tibetan ༡༡༨༨ Khmer ១១៨៨ Lao ໑໑໘໘ Burmese ၁၁၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,188 = 3
e — Euler's number (e)
Digit 1,188 = 9
φ — Golden ratio (φ)
Digit 1,188 = 8
√2 — Pythagoras's (√2)
Digit 1,188 = 3
ln 2 — Natural log of 2
Digit 1,188 = 5
γ — Euler-Mascheroni (γ)
Digit 1,188 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1188, here are decompositions:

  • 7 + 1181 = 1188
  • 17 + 1171 = 1188
  • 37 + 1151 = 1188
  • 59 + 1129 = 1188
  • 71 + 1117 = 1188
  • 79 + 1109 = 1188
  • 97 + 1091 = 1188
  • 101 + 1087 = 1188

Showing the first eight; more decompositions exist.

Unicode codepoint
Ҥ
Cyrillic Capital Ligature En Ghe
U+04A4
Uppercase letter (Lu)

UTF-8 encoding: D2 A4 (2 bytes).

Hex color
#0004A4
RGB(0, 4, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.164.

Address
0.0.4.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.164

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1188 first appears in π at position 846 of the decimal expansion (the 846ordinal-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.