1435
Standard railway gauge is 1,435 mm between the rails.
- Odd
- Composite
Where 1435 fits
Why 1435 is special
About 55 percent of the world's railways use it, which is why through trains cross most European borders and stop at others. The figure is usually traced to early English tramways and is stated in imperial units as 4 feet 8.5 inches — an oddly specific measurement that no one designed as such.
Same number, different meanings
How 1435 is understood across different contexts — never implying one meaning because of another.
- Mathematics
About 55 percent of the world's railways use it, which is why through trains cross most European borders and stop at others. The figure is usually traced to early English tramways and is stated in imperial units as 4 feet 8.5 inches — an oddly specific measurement that no one designed as such.
- History
In 1435, the Congress of Arras detached Burgundy from the English alliance (France and Burgundy).
- Technology & computing
The distance between the rails on standard-gauge track is 1435 millimetres (worldwide; about 55 per cent of the world's railways). Four feet eight and a half inches. The half inch is the awkward part, and the usual explanation — that it descends from Roman cart ruts — is folklore; it comes from early English colliery tramways, where the gauge was measured inside the rails and then adjusted outward.
1435 is part of
Factors & digit properties
- Divisors (8)
- 1, 5, 7, 35, 41, 205, 287, 1435
- Prime factorisation
- 5 × 7 × 41
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 1435
- Scientific notation
- 1.435 × 10^3
Roman numerals
M C D X X X V
MCDXXXV uses the subtractive pair CD: a hundred before five hundred — five hundred minus a hundred.
Binary
1 0 1 1 0 0 1 1 0 1 1
1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 1,435
Octal
2 6 3 3
2 × 512 + 6 × 64 + 3 × 8 + 3 × 1 = 1,435
Hexadecimal
5 9 b
5 × 256 + 9 × 16 + b × 1 = 1,435
Read as powers of two: 1,024 + 256 + 128 + 16 + 8 + 2 + 1 = 1,435.
In historical numeral systems
Egyptian
1 lotus, 4 coils of rope, 3 hobbles, 5 strokes
1 × 1,000 + 4 × 100 + 3 × 10 + 5 × 1 = 1,435. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 3 vertical wedges (sixties place), 5 corner wedges + 5 vertical wedges (units place)
23 × 60 + 55 = 1435. 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
- Lucky number (mathematical sieve)
Related numbers & connections
1435 is a year in the 15th century, in the 1430s.
Cape gauge is cheaper to build through mountains and permanently slower to run on; standard gauge is the international default. Early cost decisions constrain networks for a century.
View 1067 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
- appears inTransport
why?
Strength 0.50, confidence "high".
Other connections
- contrasts with1067
why?
Strength 0.50, confidence "high".
- contrasts with1524
why?
Strength 0.50, confidence "high".
- is associated with1935
why?
Strength 0.50, confidence "high".
- is associated with1825
why?
Strength 0.50, confidence "high".
- is associated with2768
why?
Strength 0.50, confidence "high".
- contrasts with610
why?
Strength 0.50, confidence "high".
- contrasts with1668
why?
Strength 0.50, confidence "high".
History
In 1435, the Congress of Arras detached Burgundy from the English alliance (France and Burgundy).
DocumentedHistoryGeography: France and BurgundyPeriod: 1435
Technology & computing
The distance between the rails on standard-gauge track is 1435 millimetres (worldwide; about 55 per cent of the world's railways). Four feet eight and a half inches. The half inch is the awkward part, and the usual explanation — that it descends from Roman cart ruts — is folklore; it comes from early English colliery tramways, where the gauge was measured inside the rails and then adjusted outward.
DocumentedTechnology & computingGeography: worldwide; about 55 per cent of the world's railwaysStandard gauge is 1,435 mm, used by about 55 percent of railways worldwide, which is why some borders can be crossed by through train and others require changing. In imperial units it is 4 feet 8.5 inches — a figure nobody chose as such, inherited from early English tramway practice.
DocumentedTechnology & computing
Common questions
Is 1435 a prime number?
No, 1435 is not prime.
What are the factors of 1435?
The factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435.
What is 1435 in Roman numerals?
1435 in Roman numerals is MCDXXXV. CD is subtractive: a hundred before five hundred — five hundred minus a hundred. Written additively it would be MCCCCXXXV, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026