Number

1,182

1,182 is a composite number, even, a calendar year.

1,182 (one thousand one hundred eighty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 197. Its proper divisors sum to 1,194, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLXXXII and in binary, 10010011110.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,170 1,171 1,172 1,173 1,174 1,175 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

less more

Historical context — 1182 AD

Calendar year

Year 1182 (MCLXXXII) was a common 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: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Friday
January 1, 1182
Ended on: Friday
December 31, 1182
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: 844
844 years before 2026.

In other calendars

Hebrew: 4942 / 4943 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 577 / 578 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1725 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 560 / 561 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1174 / 1175 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1104 / 1103 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 16
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 2,811
Recamán's sequence: a(340) = 1,182
Square (n²): 1,397,124
Cube (n³): 1,651,400,568
Divisor count: 8
σ(n) — sum of divisors: 2,376
φ(n) — Euler's totient: 392
Sum of prime factors: 202

Primality

Prime factorization: 2 × 3 × 197

Nearest primes: 1,181 (−1) · 1,187 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 197 · 394 · 591 (half) · 1182

Aliquot sum (sum of proper divisors): 1,194

Factor pairs (a × b = 1,182)

1 × 1182

2 × 591

3 × 394

6 × 197

First multiples

1,182 · 2,364 (double) · 3,546 · 4,728 · 5,910 · 7,092 · 8,274 · 9,456 · 10,638 · 11,820

Sums & aliquot sequence

As consecutive integers: 393 + 394 + 395 294 + 295 + 296 + 297 93 + 94 + … + 104

Aliquot sequence: 1,182 → 1,194 → 1,206 → 1,446 → 1,458 → 1,821 → 611 → 61 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,182 = [34; (2, 1, 1, 1, 2, 2, 1, 2, 1, 10, 1, 2, 1, 2, 2, 1, 1, 1, 2, 68)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred eighty-two
Ordinal: 1182nd
Roman numeral: MCLXXXII
Binary: 10010011110
Octal: 2236
Hexadecimal: 0x49E
Base64: BJ4=
One's complement: 64,353 (16-bit)
Scientific notation: 1.182 × 10³
As a duration: 1,182 s = 19 minutes, 42 seconds

In other bases

ternary (3) 1121210

quaternary (4) 102132

quinary (5) 14212

senary (6) 5250

septenary (7) 3306

nonary (9) 1553

undecimal (11) 985

duodecimal (12) 826

tridecimal (13) 6cc

tetradecimal (14) 606

pentadecimal (15) 53c

Palindromic in base 14

As an angle

1,182° = 3 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αρπβʹ
Mayan (base 20): 𝋢·𝋳·𝋢
Chinese: 一千一百八十二
Chinese (financial): 壹仟壹佰捌拾貳

In other modern scripts

Eastern Arabic ١١٨٢ Devanagari ११८२ Bengali ১১৮২ Tamil ௧௧௮௨ Thai ๑๑๘๒ Tibetan ༡༡༨༢ Khmer ១១៨២ Lao ໑໑໘໒ Burmese ၁၁၈၂

Digit at this position in famous constants

π — Pi (π): Digit 1,182 = 0
e — Euler's number (e): Digit 1,182 = 3
φ — Golden ratio (φ): Digit 1,182 = 5
√2 — Pythagoras's (√2): Digit 1,182 = 8
ln 2 — Natural log of 2: Digit 1,182 = 4
γ — Euler-Mascheroni (γ): Digit 1,182 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1182, here are decompositions:

11 + 1171 = 1182
19 + 1163 = 1182
29 + 1153 = 1182
31 + 1151 = 1182
53 + 1129 = 1182
59 + 1123 = 1182
73 + 1109 = 1182
79 + 1103 = 1182

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Ka With Stroke

U+049E

Uppercase letter (Lu)

UTF-8 encoding: D2 9E (2 bytes).

Lookup U+049E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00049E

RGB(0, 4, 158)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.158.

Address: 0.0.4.158
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.158

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

Musical pitch

Heard as a frequency, 1,182 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +48¢ — about midway to D♯6)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +12¢)

Position in π

The digit sequence 1182 first appears in π at position 14,376 of the decimal expansion (the 14,376ordinal-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 1182 on Pi Search ↗