1825
1825 is the year the first public steam passenger railway opened.
- Odd
- Composite
Where 1825 fits
Why 1825 is special
The Stockton and Darlington began carrying fare-paying passengers behind a steam locomotive in September 1825. Within twenty-five years railways had forced Britain onto a single standardised time, because timetables cannot work when every town keeps its own noon.
1825 is part of
Factors & digit properties
- Divisors (6)
- 1, 5, 25, 73, 365, 1825
- Prime factorisation
- 5^2 × 73
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1825
- Scientific notation
- 1.825 × 10^3
Roman numerals
M D C C C X X V
Binary
1 1 1 0 0 1 0 0 0 0 1
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,825
Octal
3 4 4 1
3 × 512 + 4 × 64 + 4 × 8 + 1 × 1 = 1,825
Hexadecimal
7 2 1
7 × 256 + 2 × 16 + 1 × 1 = 1,825
Read as powers of two: 1,024 + 512 + 256 + 32 + 1 = 1,825.
In historical numeral systems
Egyptian
1 lotus, 8 coils of rope, 2 hobbles, 5 strokes
1 × 1,000 + 8 × 100 + 2 × 10 + 5 × 1 = 1,825. 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), 2 corner wedges + 5 vertical wedges (units place)
30 × 60 + 25 = 1825. 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
- Deficient number
- Happy number
Related numbers & connections
1825 is a year in the 19th century, in the 1820s.
Standard gauge and the first public steam passenger railway. The 1,435 mm figure was inherited from early English tramway practice rather than designed.
View 1435 →Technology & computing
The Stockton and Darlington began carrying fare-paying passengers behind steam in 1825. Within twenty-five years railways had forced Britain onto standardised time, because a timetable cannot function when every town keeps its own noon.
DocumentedTechnology & computingGeography: EnglandPeriod: 1825In 1825, the Stockton and Darlington Railway opened, the first public steam railway (England).
DocumentedTechnology & computingGeography: EnglandPeriod: 1825
Common questions
Is 1825 a prime number?
No, 1825 is not prime.
What are the factors of 1825?
The factors of 1825 are 1, 5, 25, 73, 365, 1825.
What is 1825 in Roman numerals?
1825 in Roman numerals is MDCCCXXV.
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