1760
There are 1,760 yards in a statute mile — eight furlongs of 220 yards, a figure fixed by an Act of 1593 to reconcile the Roman mile with the English furlong.
- Even
- Composite
Where 1760 fits
Why 1760 is special
The number looks arbitrary because it is a compromise. The mile came from the Roman thousand paces and the furlong from the length of a ploughed furrow, and in 1593 Parliament defined the mile as eight furlongs to reconcile them — which fixed it at 1,760 yards rather than a round figure.
Same number, different meanings
How 1760 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The number looks arbitrary because it is a compromise. The mile came from the Roman thousand paces and the furlong from the length of a ploughed furrow, and in 1593 Parliament defined the mile as eight furlongs to reconcile them — which fixed it at 1,760 yards rather than a round figure.
- History
In 1760, the Industrial Revolution is conventionally dated from around this year in Britain (Great Britain).
- Everyday life
The mile descends from the Roman thousand paces and the furlong from the length of a ploughed furrow, and the two did not fit. An Act of 1593 defined the mile as eight furlongs, which fixed it at 1,760 yards — an awkward number that is the residue of reconciling two older ones.
- Technology & computing
There are 1760 yards in a mile (imperial and US customary units). The Roman mile was a thousand paces; the English mile was later set at eight furlongs, and a furlong is 220 yards, which is where the awkward figure comes from.
- Science
A nautical mile is 1,852 metres — about 2,025 yards — and is unrelated to the statute mile's 1,760: it is defined as one minute of latitude, so it derives from the size of the Earth rather than from any pace or furrow. This is why sea and air distances do not convert neatly to road distances, and why speed at sea is quoted in knots, one nautical mile per hour.
1760 is part of
Factors & digit properties
- Divisors (24)
- 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760
- Prime factorisation
- 2^5 × 5 × 11
- Digit sum
- 14
- Digital root
- 5
Representations
- Decimal
- 1760
- Scientific notation
- 1.760 × 10^3
Roman numerals
M D C C L X
Binary
1 1 0 1 1 1 0 0 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,760
Octal
3 3 4 0
3 × 512 + 3 × 64 + 4 × 8 + 0 × 1 = 1,760
Hexadecimal
6 e 0
6 × 256 + e × 16 + 0 × 1 = 1,760
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 = 1,760.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 6 hobbles
1 × 1,000 + 7 × 100 + 6 × 10 = 1,760. 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 (units place)
29 × 60 + 20 = 1760. 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
- Abundant number
- Happy number
Related numbers & connections
1760 is a year in the 18th century, in the 1760s.
1,760 yards and 5,280 feet are the same mile. Both are three times awkward because the mile was defined as eight furlongs to reconcile a Roman pace with an English ploughed furrow.
View 5280 →History
In 1760, the Industrial Revolution is conventionally dated from around this year in Britain (Great Britain).
DocumentedHistoryGeography: Great BritainPeriod: 1760
Everyday life
The mile descends from the Roman thousand paces and the furlong from the length of a ploughed furrow, and the two did not fit. An Act of 1593 defined the mile as eight furlongs, which fixed it at 1,760 yards — an awkward number that is the residue of reconciling two older ones.
DocumentedEveryday lifeGeography: EnglandPeriod: 1593
Technology & computing
There are 1760 yards in a mile (imperial and US customary units). The Roman mile was a thousand paces; the English mile was later set at eight furlongs, and a furlong is 220 yards, which is where the awkward figure comes from.
DocumentedTechnology & computingGeography: imperial and US customary units
Science
A nautical mile is 1,852 metres — about 2,025 yards — and is unrelated to the statute mile's 1,760: it is defined as one minute of latitude, so it derives from the size of the Earth rather than from any pace or furrow. This is why sea and air distances do not convert neatly to road distances, and why speed at sea is quoted in knots, one nautical mile per hour.
DocumentedScience
Mathematics
A statute mile is 1,760 yards, 5,280 feet and 63,360 inches, and the last of those is the one that matters to cartographers: a map at 1:63,360 has exactly one inch to the mile, which is why that scale was the standard for Ordnance Survey mapping of Great Britain for over a century. An awkward conversion factor becomes a convenient map scale precisely because it is the number it is.
DocumentedMathematicsGeography: United Kingdom
Common questions
Why are there 1760 yards in a mile?
It is the same 1593 compromise seen in yards rather than feet: eight furlongs of 220 yards each. The awkwardness has one useful consequence — a mile is 63,360 inches, so a map drawn at 1:63,360 has exactly one inch to the mile, which is why that was the standard Ordnance Survey scale for over a century.
Is 1760 a prime number?
No, 1760 is not prime.
What are the factors of 1760?
The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760.
What is 1760 in Roman numerals?
1760 in Roman numerals is MDCCLX.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 5 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026