1721
1721 is the year Britain acquired its first de facto prime minister.
- Odd
- Prime
Where 1721 fits
Why 1721 is special
Robert Walpole held office for over twenty years without the title, which was informal and initially an insult. The role of prime minister has never been created by statute and rests on convention to this day.
1721 is part of
Factors & digit properties
- Divisors (2)
- 1, 1721
- Prime factorisation
- 1721
- Digit sum
- 11
- Digital root
- 2
Representations
- Decimal
- 1721
- Binary
- 11010111001
- Octal
- 3271
- Hexadecimal
- 6b9
- Roman numeral
- MDCCXXI
- Scientific notation
- 1.721 × 10^3
Other mathematical patterns
- Deficient number
- Twin prime
Related numbers & connections
Peter the Great toured western Europe in disguise in 1697, and the reforms that followed reoriented Russia by force. Britain acquired its first de facto prime minister in 1721 by a quieter route.
View 1697 →Other connections
- is associated with1697
why?
Strength 0.50, confidence "high".
Law & regulation
There is no statute establishing the office of British prime minister. Walpole's long dominance from 1721 created the role by practice, and it still rests on convention rather than law — which is why its powers are so hard to state precisely.
DocumentedLaw & regulationGeography: Great BritainPeriod: 1721
Common questions
Is 1721 a prime number?
Yes, 1721 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 1721?
The factors of 1721 are 1, 1721.
What is 1721 in Roman numerals?
1721 in Roman numerals is MDCCXXI.
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