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.
Same number, different meanings
How 1830 is understood across different contexts — never implying one meaning because of another.
- Mathematics
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.
- History
In 1830, the Liverpool and Manchester Railway opened, the first intercity passenger railway (England).
- 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.
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
- Scientific notation
- 1.830 × 10^3
Roman numerals
M D C C C X X X
Binary
1 1 1 0 0 1 0 0 1 1 0
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,830
Octal
3 4 4 6
3 × 512 + 4 × 64 + 4 × 8 + 6 × 1 = 1,830
Hexadecimal
7 2 6
7 × 256 + 2 × 16 + 6 × 1 = 1,830
Read as powers of two: 1,024 + 512 + 256 + 32 + 4 + 2 = 1,830.
In historical numeral systems
Egyptian
1 lotus, 8 coils of rope, 3 hobbles
1 × 1,000 + 8 × 100 + 3 × 10 = 1,830. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
3 corner wedges (sixties place), 3 corner wedges (units place)
30 × 60 + 30 = 1830. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Triangular number
- Abundant number
Related numbers & connections
1830 is a year in the 19th century, in the 1830s.
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 →History
In 1830, the Liverpool and Manchester Railway opened, the first intercity passenger railway (England).
DocumentedHistoryGeography: EnglandPeriod: 1830
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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026