1732
1732 is the year Euler disproved Fermat's conjecture about prime-generating numbers.
- Even
- Composite
Why 1732 is special
Fermat had claimed every number of the form 2^(2^n)+1 is prime. Euler factored the fifth such number, and no further Fermat prime has been found in three centuries of looking.
Factors & digit properties
- Divisors (6)
- 1, 2, 4, 433, 866, 1732
- Prime factorisation
- 2^2 × 433
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 1732
- Binary
- 11011000100
- Octal
- 3304
- Hexadecimal
- 6c4
- Roman numeral
- MDCCXXXII
- Scientific notation
- 1.732 × 10^3
Other mathematical patterns
- Deficient number
Mathematics
Euler factored the fifth Fermat number in 1732, disproving a conjecture that had stood for nearly a century. Every Fermat number tested since has also been composite, so the conjecture failed almost completely rather than narrowly.
DocumentedMathematicsPeriod: 1732
Common questions
Is 1732 a prime number?
No, 1732 is not prime.
What are the factors of 1732?
The factors of 1732 are 1, 2, 4, 433, 866, 1732.
What is 1732 in Roman numerals?
1732 in Roman numerals is MDCCXXXII.
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