1690
1690 is the year Locke published his Two Treatises of Government.
- Even
- Composite
Where 1690 fits
Why 1690 is special
It argued that government rests on the consent of the governed and may be dissolved if it violates natural rights. The American Declaration of Independence draws on it almost directly.
Same number, different meanings
How 1690 is understood across different contexts — never implying one meaning because of another.
- Mathematics
It argued that government rests on the consent of the governed and may be dissolved if it violates natural rights. The American Declaration of Independence draws on it almost directly.
- History
In 1690, John Locke's Essay Concerning Human Understanding and Two Treatises of Government both appeared (England).
- Law & regulation
Locke's arguments about consent, property and the right to dissolve a government appear in the Declaration of Independence with little modification. The 1776 document is in part a restatement of 1690.
1690 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690
- Prime factorisation
- 2 × 5 × 13^2
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1690
- Scientific notation
- 1.690 × 10^3
Roman numerals
M D C X C
MDCXC uses the subtractive pair XC: ten before a hundred — a hundred minus ten.
Binary
1 1 0 1 0 0 1 1 0 1 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,690
Octal
3 2 3 2
3 × 512 + 2 × 64 + 3 × 8 + 2 × 1 = 1,690
Hexadecimal
6 9 a
6 × 256 + 9 × 16 + a × 1 = 1,690
Read as powers of two: 1,024 + 512 + 128 + 16 + 8 + 2 = 1,690.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 9 hobbles
1 × 1,000 + 6 × 100 + 9 × 10 = 1,690. 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), 1 corner wedge (units place)
28 × 60 + 10 = 1690. 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
1690 is a year in the 17th century, in the 1690s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1690, John Locke's Essay Concerning Human Understanding and Two Treatises of Government both appeared (England).
DocumentedHistoryGeography: EnglandPeriod: 1690
Law & regulation
Locke's arguments about consent, property and the right to dissolve a government appear in the Declaration of Independence with little modification. The 1776 document is in part a restatement of 1690.
DocumentedLaw & regulationGeography: EnglandPeriod: 1690
Common questions
Is 1690 a prime number?
No, 1690 is not prime.
What are the factors of 1690?
The factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690.
What is 1690 in Roman numerals?
1690 in Roman numerals is MDCXC. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MDCLXXXX, 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