1654
1654 is the year probability theory was founded.
- Even
- Composite
Where 1654 fits
Why 1654 is special
Pascal and Fermat exchanged letters about how to divide the stakes in an interrupted game of chance. A gambling question produced the mathematics now underlying insurance, physics and statistics.
Factors & digit properties
- Divisors (4)
- 1, 2, 827, 1654
- Prime factorisation
- 2 × 827
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1654
- Binary
- 11001110110
- Octal
- 3166
- Hexadecimal
- 676
- Roman numeral
- MDCLIV
- Scientific notation
- 1.654 × 10^3
Other mathematical patterns
- Deficient number
- Semiprime
Related numbers & connections
Euler's solution to the Königsberg bridges in 1736 created graph theory by discarding geography; the Pascal-Fermat letters of 1654 created probability from a gambling dispute. Both fields began from a puzzle.
View 1736 →Other connections
- is associated with1736
why?
Strength 0.50, confidence "high".
Science
The Pascal-Fermat letters of 1654 addressed how to split a pot when a game is abandoned partway. Answering it required expected value, and probability theory follows from that exchange.
DocumentedScienceGeography: FrancePeriod: 1654
Common questions
Is 1654 a prime number?
No, 1654 is not prime.
What are the factors of 1654?
The factors of 1654 are 1, 2, 827, 1654.
What is 1654 in Roman numerals?
1654 in Roman numerals is MDCLIV.
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