1761
1761 is the year the Bridgewater Canal opened.
- Odd
- Composite
Where 1761 fits
Why 1761 is special
It halved the price of coal in Manchester and set off two decades of canal building. Cheap bulk transport is a precondition for industrialisation that is easy to overlook next to the machinery.
Same number, different meanings
How 1761 is understood across different contexts — never implying one meaning because of another.
- Mathematics
It halved the price of coal in Manchester and set off two decades of canal building. Cheap bulk transport is a precondition for industrialisation that is easy to overlook next to the machinery.
- Technology & computing
In 1761, John Harrison's H4 marine chronometer was tested at sea, solving the longitude problem (Great Britain).
- Finance & economics
The Bridgewater Canal halved Manchester coal prices in 1761 and triggered a national canal boom. Industrialisation required moving heavy goods cheaply before it required better machines.
1761 is part of
Factors & digit properties
- Divisors (4)
- 1, 3, 587, 1761
- Prime factorisation
- 3 × 587
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 1761
- Scientific notation
- 1.761 × 10^3
Roman numerals
M D C C L X I
Binary
1 1 0 1 1 1 0 0 0 0 1
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,761
Octal
3 3 4 1
3 × 512 + 3 × 64 + 4 × 8 + 1 × 1 = 1,761
Hexadecimal
6 e 1
6 × 256 + e × 16 + 1 × 1 = 1,761
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 1 = 1,761.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 6 hobbles, 1 stroke
1 × 1,000 + 7 × 100 + 6 × 10 + 1 × 1 = 1,761. 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 + 1 vertical wedge (units place)
29 × 60 + 21 = 1761. 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
1761 is a year in the 18th century, in the 1760s.
The Bridgewater Canal of 1761 halved Manchester coal prices and triggered a canal boom; the Liverpool and Manchester Railway of 1830 began replacing the canals within seventy years.
View 1830 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- developed from1830
why?
Strength 0.50, confidence "high".
Technology & computing
In 1761, John Harrison's H4 marine chronometer was tested at sea, solving the longitude problem (Great Britain).
DocumentedTechnology & computingGeography: Great BritainPeriod: 1761
Finance & economics
The Bridgewater Canal halved Manchester coal prices in 1761 and triggered a national canal boom. Industrialisation required moving heavy goods cheaply before it required better machines.
DocumentedFinance & economicsGeography: EnglandPeriod: 1761
Common questions
Is 1761 a prime number?
No, 1761 is not prime.
What are the factors of 1761?
The factors of 1761 are 1, 3, 587, 1761.
What is 1761 in Roman numerals?
1761 in Roman numerals is MDCCLXI.
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