1830
1830 is the year the first modern intercity railway opened.
- Even
- Composite
Where 1830 fits
Why 1830 is special
The Liverpool and Manchester carried passengers and freight to a timetable behind steam power. Its opening day included the first widely reported railway fatality, a member of parliament struck by Rocket.
1830 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
- Prime factorisation
- 2 × 3 × 5 × 61
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 1830
- Binary
- 11100100110
- Octal
- 3446
- Hexadecimal
- 726
- Roman numeral
- MDCCCXXX
- Scientific notation
- 1.830 × 10^3
Other mathematical patterns
- Triangular number
- Abundant number
Related numbers & connections
The Bridgewater Canal of 1761 halved Manchester coal prices and triggered a canal boom; the Liverpool and Manchester Railway of 1830 began replacing the canals within seventy years.
View 1761 →Technology & computing
The Liverpool and Manchester Railway opened in 1830 and William Huskisson MP was killed by a locomotive during the ceremony. Public reaction shows a society working out how to think about a machine faster than anything it knew.
DocumentedTechnology & computingGeography: EnglandPeriod: 1830
Common questions
Is 1830 a prime number?
No, 1830 is not prime.
What are the factors of 1830?
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830.
What is 1830 in Roman numerals?
1830 in Roman numerals is MDCCCXXX.
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