1760
There are 1,760 yards in a mile.
- 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.
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
- Binary
- 11011100000
- Octal
- 3340
- Hexadecimal
- 6e0
- Roman numeral
- MDCCLX
- Scientific notation
- 1.760 × 10^3
Other mathematical patterns
- Abundant number
- Happy number
Related numbers & connections
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 →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
Common questions
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: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026