1184
1,184 and 1,210 are the second-smallest pair of amicable numbers.
- Even
- Composite
Where 1184 fits
Why 1184 is special
They were missed for centuries — Euler catalogued dozens of larger pairs without finding them — and were spotted in 1866 by a sixteen-year-old. Mathematics is rarely that direct a demonstration that difficulty and size are unrelated.
1184 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184
- Prime factorisation
- 2^5 × 37
- Digit sum
- 14
- Digital root
- 5
Representations
- Decimal
- 1184
- Scientific notation
- 1.184 × 10^3
Roman numerals
M C L X X X I V
MCLXXXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 0 0 1 0 1 0 0 0 0 0
1 × 1,024 + 0 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,184
Octal
2 2 4 0
2 × 512 + 2 × 64 + 4 × 8 + 0 × 1 = 1,184
Hexadecimal
4 a 0
4 × 256 + a × 16 + 0 × 1 = 1,184
Read as powers of two: 1,024 + 128 + 32 = 1,184.
In historical numeral systems
Egyptian
1 lotus, 1 coil of rope, 8 hobbles, 4 strokes
1 × 1,000 + 1 × 100 + 8 × 10 + 4 × 1 = 1,184. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 9 vertical wedges (sixties place), 4 corner wedges + 4 vertical wedges (units place)
19 × 60 + 44 = 1184. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Abundant number
- Happy number
Related numbers & connections
1184 is a year in the 12th century, in the 1180s.
The two smallest amicable pairs. Euler produced dozens of larger pairs while missing 1,184 and 1,210, which a sixteen-year-old found in 1866.
View 220 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with220
why?
Strength 0.50, confidence "high".
History
In 1184, the Diet of Mainz was remembered as the largest court festival of the medieval empire (Central Europe).
DocumentedHistoryGeography: Central EuropePeriod: 1184
Mathematics
Euler produced dozens of amicable pairs and overlooked the second-smallest. A sixteen-year-old found 1,184 and 1,210 in 1866, which is an unusually clean illustration that a gap in a search is not the same as a hard problem.
DocumentedMathematicsPeriod: 1866
Common questions
Is 1184 a prime number?
No, 1184 is not prime.
What are the factors of 1184?
The factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184.
What is 1184 in Roman numerals?
1184 in Roman numerals is MCLXXXIV. IV is subtractive: one before five — five minus one. Written additively it would be MCLXXXIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026