1688
1688 is the year of the Glorious Revolution in England.
- Even
- Composite
Where 1688 fits
Why 1688 is special
A reigning king was replaced by parliamentary invitation with comparatively little bloodshed in England, though not in Scotland or Ireland. The Bill of Rights that followed established that the monarch governs by consent of parliament.
Same number, different meanings
How 1688 is understood across different contexts — never implying one meaning because of another.
- Mathematics
A reigning king was replaced by parliamentary invitation with comparatively little bloodshed in England, though not in Scotland or Ireland. The Bill of Rights that followed established that the monarch governs by consent of parliament.
- History
In 1688, the Glorious Revolution replaced James II with William and Mary (England).
- Law & regulation
The 1688 revolution is called glorious largely because England saw little fighting. Scotland and Ireland saw a great deal, over several years. The constitutional settlement it produced — parliamentary supremacy over the crown — is the part that endured.
1688 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 4, 8, 211, 422, 844, 1688
- Prime factorisation
- 2^3 × 211
- Digit sum
- 23
- Digital root
- 5
Representations
- Decimal
- 1688
- Scientific notation
- 1.688 × 10^3
Roman numerals
M D C L X X X V I I I
Binary
1 1 0 1 0 0 1 1 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,688
Octal
3 2 3 0
3 × 512 + 2 × 64 + 3 × 8 + 0 × 1 = 1,688
Hexadecimal
6 9 8
6 × 256 + 9 × 16 + 8 × 1 = 1,688
Read as powers of two: 1,024 + 512 + 128 + 16 + 8 = 1,688.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 8 hobbles, 8 strokes
1 × 1,000 + 6 × 100 + 8 × 10 + 8 × 1 = 1,688. 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), 8 vertical wedges (units place)
28 × 60 + 8 = 1688. 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
Related numbers & connections
1688 is a year in the 17th century, in the 1680s.
Edward II's deposition in 1327 established that parliament could remove a monarch by process. The precedent was used again in 1399, 1461 and the Glorious Revolution.
View 1327 →History
In 1688, the Glorious Revolution replaced James II with William and Mary (England).
DocumentedHistoryGeography: EnglandPeriod: 1688
Law & regulation
The 1688 revolution is called glorious largely because England saw little fighting. Scotland and Ireland saw a great deal, over several years. The constitutional settlement it produced — parliamentary supremacy over the crown — is the part that endured.
DocumentedLaw & regulationGeography: England, Scotland and IrelandPeriod: 1688
Common questions
Is 1688 a prime number?
No, 1688 is not prime.
What are the factors of 1688?
The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688.
What is 1688 in Roman numerals?
1688 in Roman numerals is MDCLXXXVIII.
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