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1689

1689 is the year of the English Bill of Rights.

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Where 1689 fits

Where 1689 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 1653.MathematicsSemiprimeHistoryHistorical yearsRelated numbers16531689
1689 connects to 3 worlds: mathematics, history, related numbers.

Why 1689 is special

It established parliamentary supremacy, free elections and freedom of speech in parliament, and barred the crown from suspending laws. The American Bill of Rights a century later borrowed heavily from it.

1689 connects to:

  • historical years appears in
  • 1653 contrasts with

Same number, different meanings

How 1689 is understood across different contexts — never implying one meaning because of another.

1689 is part of

Factors & digit properties

Divisors (4)
1, 3, 563, 1689
Prime factorisation
3 × 563
Digit sum
24
Digital root
6

Representations

Decimal
1689
Scientific notation
1.689 × 10^3

Roman numerals

M D C L X X X I X

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

Binary

1 1 0 1 0 0 1 1 0 0 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,689

Octal

3 2 3 1

3 × 512 + 2 × 64 + 3 × 8 + 1 × 1 = 1,689

Hexadecimal

6 9 9

6 × 256 + 9 × 16 + 9 × 1 = 1,689

Read as powers of two: 1,024 + 512 + 128 + 16 + 8 + 1 = 1,689.

In historical numeral systems

Egyptian

1 lotus, 6 coils of rope, 8 hobbles, 9 strokes

1 × 1,000 + 6 × 100 + 8 × 10 + 9 × 1 = 1,689. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 8 vertical wedges (sixties place), 9 vertical wedges (units place)

28 × 60 + 9 = 1689. 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
1689 is a year in the 17th century, in the 1680s.

1689 is a year in the 17th century, in the 1680s.

Connection
The Instrument of Government of 1653 is the only codified constitution England has had and lasted four years; the Bill of Rights of 1689 was not codified and still stands.

The Instrument of Government of 1653 is the only codified constitution England has had and lasted four years; the Bill of Rights of 1689 was not codified and still stands.

View 1653

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • contrasts with1653
    why?

    Strength 0.50, confidence "high".

How is 1689 connected to another number? →

History

  • In 1689, the Bill of Rights limited the powers of the Crown and established parliamentary rights (England).

    DocumentedHistoryGeography: EnglandPeriod: 1689

Law & regulation

  • The 1689 Bill of Rights limited the crown, guaranteed parliamentary privilege and prohibited cruel and unusual punishment — a phrase the US Eighth Amendment reproduces almost exactly a century later.

    DocumentedLaw & regulationGeography: EnglandPeriod: 1689

Common questions

Is 1689 a prime number?

No, 1689 is not prime.

What are the factors of 1689?

The factors of 1689 are 1, 3, 563, 1689.

What is 1689 in Roman numerals?

1689 in Roman numerals is MDCLXXXIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MDCLXXXVIIII, 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