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1789

1789 is the year the French Revolution began and the United States Constitution took effect.

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Where 1789 fits

Where 1789 fits: Mathematics, History, Related numbersMathematics: Prime, Twin prime. History: Historical years. Related numbers: 1776, 1804.MathematicsPrimeTwin primeHistoryHistorical yearsRelated numbers177618041789
1789 connects to 3 worlds: mathematics, history, related numbers.

Why 1789 is special

1789 carried two revolutions reaching different stages. The Bastille was stormed in July and the Declaration of the Rights of Man adopted in August; across the Atlantic the US Constitution came into force in March and Washington was inaugurated in April. The French and American events were connected — several key figures had served in both.

1789 connects to:

  • historical years appears in
  • 1776 appears alongside
  • 1804 is associated with

Same number, different meanings

How 1789 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (2)
1, 1789
Prime factorisation
1789
Digit sum
25
Digital root
7

Representations

Decimal
1789
Scientific notation
1.789 × 10^3

Roman numerals

M D C C L X X X I X

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

Binary

1 1 0 1 1 1 1 1 1 0 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 1,789

Octal

3 3 7 5

3 × 512 + 3 × 64 + 7 × 8 + 5 × 1 = 1,789

Hexadecimal

6 f d

6 × 256 + f × 16 + d × 1 = 1,789

Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 16 + 8 + 4 + 1 = 1,789.

In historical numeral systems

Egyptian

1 lotus, 7 coils of rope, 8 hobbles, 9 strokes

1 × 1,000 + 7 × 100 + 8 × 10 + 9 × 1 = 1,789. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 9 vertical wedges (sixties place), 4 corner wedges + 9 vertical wedges (units place)

29 × 60 + 49 = 1789. 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
1789 is a year in the 18th century, in the 1780s.

1789 is a year in the 18th century, in the 1780s.

Connection
The Haitian Revolution invoked the principles of the French Revolution and was fought against France to establish them. The gap between the two dates is the distance between declaring universal rights and conceding them.

The Haitian Revolution invoked the principles of the French Revolution and was fought against France to establish them. The gap between the two dates is the distance between declaring universal rights and conceding them.

View 1804

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

  • appears alongside1776
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1804
    why?

    Strength 0.50, confidence "high".

How is 1789 connected to another number? →

History

  • In 1789, the French Revolution began with the storming of the Bastille (France).

    DocumentedHistoryGeography: FrancePeriod: 1789
  • The US Constitution took effect in March 1789 and the Bastille fell in July. The connection is not coincidence: Lafayette had served in the American war and drafted the Declaration of the Rights of Man with Jefferson's input, and French debt from supporting that war was among the pressures that brought the crisis on.

    DocumentedHistoryGeography: France and the United States

Science

  • In 1789, Lavoisier's Traité élémentaire de chimie set out the conservation of mass and a list of elements, founding chemistry as a quantitative science (France).

    DocumentedScienceGeography: FrancePeriod: 1789

Common questions

Is 1789 a prime number?

Yes, 1789 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 1789?

The factors of 1789 are 1, 1789.

What is 1789 in Roman numerals?

1789 in Roman numerals is MDCCLXXXIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MDCCLXXXVIIII, 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