Number

1,184

1,184 is a composite number, even, a calendar year.

1,184 (one thousand one hundred eighty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 37. Its proper divisors sum to 1,210, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLXXXIV and in binary, 10010100000.

Abundant Number Amicable Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,195 1,196

less more

Historical context — 1184 AD

Calendar year

Year 1184 (MCLXXXIV) was a leap year starting on Sunday 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: Sunday
January 1, 1184
Ended on: Monday
December 31, 1184
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1180s
1180–1189
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 842
842 years before 2026.

In other calendars

Hebrew: 4944 / 4945 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 579 / 580 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1727 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 562 / 563 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1176 / 1177 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1106 / 1105 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 32
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 4,811
Recamán's sequence: a(344) = 1,184
Square (n²): 1,401,856
Cube (n³): 1,659,797,504
Divisor count: 12
σ(n) — sum of divisors: 2,394
φ(n) — Euler's totient: 576
Sum of prime factors: 47

Primality

Prime factorization: 2 ⁵ × 37

Nearest primes: 1,181 (−3) · 1,187 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 37 · 74 · 148 · 296 · 592 (half) · 1184

Aliquot sum (sum of proper divisors): 1,210

Factor pairs (a × b = 1,184)

1 × 1184

2 × 592

4 × 296

8 × 148

16 × 74

32 × 37

First multiples

1,184 · 2,368 (double) · 3,552 · 4,736 · 5,920 · 7,104 · 8,288 · 9,472 · 10,656 · 11,840

Sums & aliquot sequence

As a sum of two squares: 20² + 28²

As consecutive integers: 14 + 15 + … + 50

Aliquot sequence: 1,184 → 1,210 → 1,184 — enters a cycle

Continued fraction of √n

√1,184 = [34; (2, 2, 3, 1, 9, 17, 9, 1, 3, 2, 2, 68)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred eighty-four
Ordinal: 1184th
Roman numeral: MCLXXXIV
Binary: 10010100000
Octal: 2240
Hexadecimal: 0x4A0
Base64: BKA=
One's complement: 64,351 (16-bit)
Scientific notation: 1.184 × 10³
As a duration: 1,184 s = 19 minutes, 44 seconds

In other bases

ternary (3) 1121212

quaternary (4) 102200

quinary (5) 14214

senary (6) 5252

septenary (7) 3311

nonary (9) 1555

undecimal (11) 987

duodecimal (12) 828

tridecimal (13) 701

tetradecimal (14) 608

pentadecimal (15) 53e

Palindromic in base 12

As an angle

1,184° = 3 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρπδʹ
Mayan (base 20): 𝋢·𝋳·𝋤
Chinese: 一千一百八十四
Chinese (financial): 壹仟壹佰捌拾肆

In other modern scripts

Eastern Arabic ١١٨٤ Devanagari ११८४ Bengali ১১৮৪ Tamil ௧௧௮௪ Thai ๑๑๘๔ Tibetan ༡༡༨༤ Khmer ១១៨៤ Lao ໑໑໘໔ Burmese ၁၁၈၄

Digit at this position in famous constants

π — Pi (π): Digit 1,184 = 6
e — Euler's number (e): Digit 1,184 = 8
φ — Golden ratio (φ): Digit 1,184 = 4
√2 — Pythagoras's (√2): Digit 1,184 = 7
ln 2 — Natural log of 2: Digit 1,184 = 2
γ — Euler-Mascheroni (γ): Digit 1,184 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1184, here are decompositions:

3 + 1181 = 1184
13 + 1171 = 1184
31 + 1153 = 1184
61 + 1123 = 1184
67 + 1117 = 1184
97 + 1087 = 1184
151 + 1033 = 1184
163 + 1021 = 1184

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Bashkir Ka

U+04A0

Uppercase letter (Lu)

UTF-8 encoding: D2 A0 (2 bytes).

Lookup U+04A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004A0

RGB(0, 4, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.160.

Address: 0.0.4.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.160

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

Musical pitch

Heard as a frequency, 1,184 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +14¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, -49¢ — about midway to D6)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +15¢)

Position in π

The digit sequence 1184 first appears in π at position 13,356 of the decimal expansion (the 13,356ordinal-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 1184 on Pi Search ↗