1731
1731 is the year the first circulating library opened in Britain.
- Odd
- Composite
Where 1731 fits
Why 1731 is special
Books were expensive enough that lending was a business. Subscription libraries spread reading well beyond those who could afford to buy.
Factors & digit properties
- Divisors (4)
- 1, 3, 577, 1731
- Prime factorisation
- 3 × 577
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 1731
- Binary
- 11011000011
- Octal
- 3303
- Hexadecimal
- 6c3
- Roman numeral
- MDCCXXXI
- Scientific notation
- 1.731 × 10^3
Other mathematical patterns
- Deficient number
- Semiprime
- Lucky number (mathematical sieve)
Related numbers & connections
Circulating libraries from 1731 put reading within reach of people who could not buy books; the British Museum in 1753 was the first national museum free to the public.
View 1753 →Other connections
- developed from1753
why?
Strength 0.50, confidence "high".
Culture
Circulating libraries from 1731 rented books by subscription, which put reading within reach of people who could not buy at all. Publishers initially treated them as a threat to sales.
DocumentedCultureGeography: BritainPeriod: 1731
Common questions
Is 1731 a prime number?
No, 1731 is not prime.
What are the factors of 1731?
The factors of 1731 are 1, 3, 577, 1731.
What is 1731 in Roman numerals?
1731 in Roman numerals is MDCCXXXI.
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