Numberwise

1829

1829 is the year the Rainhill Trials chose the design for railway locomotives.

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Where 1829 fits

Where 1829 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 1814, 1830.MathematicsSemiprimeHistoryHistorical yearsRelated numbers181418301829
1829 connects to 3 worlds: mathematics, history, related numbers.

Why 1829 is special

Stephenson's Rocket won at about 48 km/h. The trials mattered because they settled by public competition what had been an open technical argument.

1829 is part of

Numbers around us

Factors & digit properties

Divisors (4)
1, 31, 59, 1829
Prime factorisation
31 × 59
Digit sum
20
Digital root
2

Representations

Decimal
1829
Scientific notation
1.829 × 10^3

Roman numerals

M D C C C X X I X

MDCCCXXIX uses the subtractive pair IX: one before ten — ten minus one.

Binary

1 1 1 0 0 1 0 0 1 0 1

1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 1,829

Octal

3 4 4 5

3 × 512 + 4 × 64 + 4 × 8 + 5 × 1 = 1,829

Hexadecimal

7 2 5

7 × 256 + 2 × 16 + 5 × 1 = 1,829

Read as powers of two: 1,024 + 512 + 256 + 32 + 4 + 1 = 1,829.

In historical numeral systems

Egyptian

1 lotus, 8 coils of rope, 2 hobbles, 9 strokes

1 × 1,000 + 8 × 100 + 2 × 10 + 9 × 1 = 1,829. 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 + 9 vertical wedges (units place)

30 × 60 + 29 = 1829. 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

Related numbers & connections

Documented appearance
1829 is a year in the 19th century, in the 1820s.

1829 is a year in the 19th century, in the 1820s.

Connection
Stephenson built his first locomotive in 1814 and Rocket won the Rainhill Trials in 1829, settling by public competition what a railway locomotive should be.

Stephenson built his first locomotive in 1814 and Rocket won the Rainhill Trials in 1829, settling by public competition what a railway locomotive should be.

View 1814 →

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1814
    why?

    Strength 0.50, confidence "high".

  • developed from1830
    why?

    Strength 0.50, confidence "high".

How is 1829 connected to another number? →

Technology & computing

  • In 1829, Stephenson's Rocket won the Rainhill Trials, setting the pattern for the steam locomotive (England).

    DocumentedTechnology & computingGeography: EnglandPeriod: 1829

  • Rainhill was a public contest to determine what a railway locomotive should be, and Rocket's combination of multi-tube boiler and direct drive became the template for a century of steam design.

    DocumentedTechnology & computingGeography: EnglandPeriod: 1829

Common questions

Is 1829 a prime number?

No, 1829 is not prime.

What are the factors of 1829?

The factors of 1829 are 1, 31, 59, 1829.

What is 1829 in Roman numerals?

1829 in Roman numerals is MDCCCXXIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MDCCCXXVIIII, 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