1891
1891 is the year basketball was invented.
- Odd
- Composite
Where 1891 fits
Why 1891 is special
James Naismith wrote thirteen rules to occupy students indoors during a New England winter. Peach baskets kept the ball, so someone had to retrieve it after every score.
1891 is part of
Factors & digit properties
- Divisors (4)
- 1, 31, 61, 1891
- Prime factorisation
- 31 × 61
- Digit sum
- 19
- Digital root
- 1
Representations
- Decimal
- 1891
- Binary
- 11101100011
- Octal
- 3543
- Hexadecimal
- 763
- Roman numeral
- MDCCCXCI
- Scientific notation
- 1.891 × 10^3
Other mathematical patterns
- Triangular number
- Deficient number
- Hexagonal number
- Semiprime
Related numbers & connections
Basketball was invented in December 1891 and its thirteen rules published in 1892 — one of very few major sports with a known inventor, date and original rulebook.
View 1892 →Sport
Naismith invented basketball in December 1891 with thirteen written rules and two peach baskets. The bottoms were not removed for several years, so play stopped after every point.
DocumentedSportGeography: Massachusetts, United StatesPeriod: 1891
Common questions
Is 1891 a prime number?
No, 1891 is not prime.
What are the factors of 1891?
The factors of 1891 are 1, 31, 61, 1891.
What is 1891 in Roman numerals?
1891 in Roman numerals is MDCCCXCI.
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