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
- Binary
- 10010100000
- Octal
- 2240
- Hexadecimal
- 4a0
- Roman numeral
- MCLXXXIV
- Scientific notation
- 1.184 × 10^3
Other mathematical patterns
- Abundant number
- Happy number
Related numbers & connections
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 →Other connections
- is associated with220
why?
Strength 0.50, confidence "high".
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.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026