1745
1745 is the year of the last Jacobite rising.
- Odd
- Composite
Where 1745 fits
Why 1745 is special
It reached Derby, about 200 km from London, before turning back. The defeat at Culloden the following year was followed by legislation suppressing Highland dress, weapons and clan authority.
Same number, different meanings
How 1745 is understood across different contexts — never implying one meaning because of another.
- Mathematics
It reached Derby, about 200 km from London, before turning back. The defeat at Culloden the following year was followed by legislation suppressing Highland dress, weapons and clan authority.
- History
The 1745 rising ended at Culloden in 1746, after which parliament banned Highland dress and dismantled clan legal authority. The cultural suppression was more consequential than the battle.
- Technology & computing
In 1745, the Leyden jar was described, the first practical way of storing an electrical charge (Low Countries).
1745 is part of
Factors & digit properties
- Divisors (4)
- 1, 5, 349, 1745
- Prime factorisation
- 5 × 349
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1745
- Scientific notation
- 1.745 × 10^3
Roman numerals
M D C C X L V
MDCCXLV uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 0 1 1 0 1 0 0 0 1
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,745
Octal
3 3 2 1
3 × 512 + 3 × 64 + 2 × 8 + 1 × 1 = 1,745
Hexadecimal
6 d 1
6 × 256 + d × 16 + 1 × 1 = 1,745
Read as powers of two: 1,024 + 512 + 128 + 64 + 16 + 1 = 1,745.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 4 hobbles, 5 strokes
1 × 1,000 + 7 × 100 + 4 × 10 + 5 × 1 = 1,745. 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), 5 vertical wedges (units place)
29 × 60 + 5 = 1745. 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
- Happy number
- Semiprime
Related numbers & connections
1745 is a year in the 18th century, in the 1740s.
The 1745 rising ended at Culloden in 1746, and the legislation that followed dismantled Highland clan society more thoroughly than the battle did.
View 1746 →History
The 1745 rising ended at Culloden in 1746, after which parliament banned Highland dress and dismantled clan legal authority. The cultural suppression was more consequential than the battle.
DocumentedHistoryGeography: Scotland and EnglandPeriod: 1745
Technology & computing
In 1745, the Leyden jar was described, the first practical way of storing an electrical charge (Low Countries).
DocumentedTechnology & computingGeography: Low CountriesPeriod: 1745
Common questions
Is 1745 a prime number?
No, 1745 is not prime.
What are the factors of 1745?
The factors of 1745 are 1, 5, 349, 1745.
What is 1745 in Roman numerals?
1745 in Roman numerals is MDCCXLV. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCXXXXV, 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