1763
1763 is the year the Treaty of Paris ended the Seven Years' War.
- Odd
- Composite
Where 1763 fits
Why 1763 is special
France ceded almost all of its North American territory. Britain's resulting debt, and its attempt to make the colonies contribute to it, set off the sequence that ended in American independence twenty years later.
1763 is part of
Factors & digit properties
- Divisors (4)
- 1, 41, 43, 1763
- Prime factorisation
- 41 × 43
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1763
- Scientific notation
- 1.763 × 10^3
Roman numerals
M D C C L X I I I
Binary
1 1 0 1 1 1 0 0 0 1 1
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 1,763
Octal
3 3 4 3
3 × 512 + 3 × 64 + 4 × 8 + 3 × 1 = 1,763
Hexadecimal
6 e 3
6 × 256 + e × 16 + 3 × 1 = 1,763
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 2 + 1 = 1,763.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 6 hobbles, 3 strokes
1 × 1,000 + 7 × 100 + 6 × 10 + 3 × 1 = 1,763. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 9 vertical wedges (sixties place), 2 corner wedges + 3 vertical wedges (units place)
29 × 60 + 23 = 1763. 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
- Semiprime
Related numbers & connections
1763 is a year in the 18th century, in the 1760s.
Britain's year of victories in 1759 settled the Seven Years' War, and the 1763 treaty that followed left the debts which produced colonial taxation and then revolution.
View 1759 →History
In 1763, the Treaty of Paris ended the Seven Years' War and transferred New France to Britain (Europe and North America).
DocumentedHistoryGeography: Europe and North AmericaPeriod: 1763The 1763 settlement gave Britain most of France's North American possessions and a war debt it could not service. Taxing the colonies to pay for their own defence seemed obvious in London and was received very differently in Boston.
DocumentedHistoryPeriod: 1763
Common questions
Is 1763 a prime number?
No, 1763 is not prime.
What are the factors of 1763?
The factors of 1763 are 1, 41, 43, 1763.
What is 1763 in Roman numerals?
1763 in Roman numerals is MDCCLXIII.
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