1732
1732 is the year Euler disproved Fermat's conjecture about prime-generating numbers.
- Even
- Composite
Where 1732 fits
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.
1732 is part of
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
- Scientific notation
- 1.732 × 10^3
Roman numerals
M D C C X X X I I
Binary
1 1 0 1 1 0 0 0 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,732
Octal
3 3 0 4
3 × 512 + 3 × 64 + 0 × 8 + 4 × 1 = 1,732
Hexadecimal
6 c 4
6 × 256 + c × 16 + 4 × 1 = 1,732
Read as powers of two: 1,024 + 512 + 128 + 64 + 4 = 1,732.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 3 hobbles, 2 strokes
1 × 1,000 + 7 × 100 + 3 × 10 + 2 × 1 = 1,732. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 8 vertical wedges (sixties place), 5 corner wedges + 2 vertical wedges (units place)
28 × 60 + 52 = 1732. 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
- Deficient number
Related numbers & connections
1732 is a year in the 18th century, in the 1730s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1732, George Washington and Joseph Haydn were both born (Europe and North America).
DocumentedHistoryGeography: Europe and North AmericaPeriod: 1732
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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026