Number

1,188

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

1,188 (one thousand one hundred eighty-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 11. Its proper divisors sum to 2,172, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLXXXVIII and in binary, 10010100100.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,176 1,177 1,178 1,179 1,180 1,181 1,182 1,183 1,184 1,185 1,186 1,187 1,188 1,189 1,190 1,191 1,192 1,193 1,194 1,195 1,196 1,197 1,198 1,199 1,200

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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 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

Continued fraction of √n

√1,188 = [34; (2, 7, 6, 7, 2, 68)]

Period length 6 — the block in parentheses repeats forever.

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)
Scientific notation: 1.188 × 10³
As a duration: 1,188 s = 19 minutes, 48 seconds

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

Palindromic in base 16

As an angle

1,188° = 3 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Ligature En Ghe

U+04A4

Uppercase letter (Lu)

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

Lookup U+04A4 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,188 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +20¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +21¢)

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.

Look up 1188 on Pi Search ↗