1524
1,524 mm is Russian broad gauge, used across the former Soviet Union and Finland.
- Even
- Composite
Where 1524 fits
Why 1524 is special
The break of gauge at the Russian border means every through train must have its bogies changed or its freight transhipped, which is a several-hour operation and a permanent friction in overland trade.
1524 connects to:
- historical years — appears in
- 1435 — contrasts with
Same number, different meanings
How 1524 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The break of gauge at the Russian border means every through train must have its bogies changed or its freight transhipped, which is a several-hour operation and a permanent friction in overland trade.
- History
In 1524, the German Peasants' War began, the largest popular rising in Europe before the French Revolution (Central Europe).
- Technology & computing
Russian gauge differs from European standard gauge by 89 mm, which is enough that no train can cross without changing bogies. Overland freight between Europe and Asia pays that cost on every journey.
1524 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
- Prime factorisation
- 2^2 × 3 × 127
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 1524
- Scientific notation
- 1.524 × 10^3
Roman numerals
M D X X I V
MDXXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 0 1 1 1 1 1 0 1 0 0
1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,524
Octal
2 7 6 4
2 × 512 + 7 × 64 + 6 × 8 + 4 × 1 = 1,524
Hexadecimal
5 f 4
5 × 256 + f × 16 + 4 × 1 = 1,524
Read as powers of two: 1,024 + 256 + 128 + 64 + 32 + 16 + 4 = 1,524.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope, 2 hobbles, 4 strokes
1 × 1,000 + 5 × 100 + 2 × 10 + 4 × 1 = 1,524. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 5 vertical wedges (sixties place), 2 corner wedges + 4 vertical wedges (units place)
25 × 60 + 24 = 1524. 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
- Abundant number
- Harshad (Niven) number
Related numbers & connections
1524 is a year in the 16th century, in the 1520s.
Russian gauge differs from standard by 89 mm, enough that no train crosses the border without changing bogies. The break of gauge is a permanent friction in overland trade.
View 1435 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- contrasts with1435
why?
Strength 0.50, confidence "high".
History
In 1524, the German Peasants' War began, the largest popular rising in Europe before the French Revolution (Central Europe).
DocumentedHistoryGeography: Central EuropePeriod: 1524
Technology & computing
Russian gauge differs from European standard gauge by 89 mm, which is enough that no train can cross without changing bogies. Overland freight between Europe and Asia pays that cost on every journey.
DocumentedTechnology & computing
Common questions
Is 1524 a prime number?
No, 1524 is not prime.
What are the factors of 1524?
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524.
What is 1524 in Roman numerals?
1524 in Roman numerals is MDXXIV. IV is subtractive: one before five — five minus one. Written additively it would be MDXXIIII, 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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026