1692
1692 is the year of the Salem witch trials.
- Even
- Composite
Where 1692 fits
Why 1692 is special
Twenty people were executed over several months on spectral evidence — testimony about dreams and visions that could not be tested. The colony later issued reversals and compensation, and the episode became the standard reference for judicial panic.
Same number, different meanings
How 1692 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Twenty people were executed over several months on spectral evidence — testimony about dreams and visions that could not be tested. The colony later issued reversals and compensation, and the episode became the standard reference for judicial panic.
- History
In 1692, the Salem witch trials were held in Massachusetts (North America).
- Law & regulation
Salem's convictions rested largely on spectral evidence: claims about what a defendant's spirit had done, which no defence could rebut. Excluding that category of testimony ended the trials almost immediately, which is the clearest possible statement of what had been wrong.
1692 is part of
Factors & digit properties
- Divisors (18)
- 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
- Prime factorisation
- 2^2 × 3^2 × 47
- Digit sum
- 18
- Digital root
- 9
Representations
- Decimal
- 1692
- Scientific notation
- 1.692 × 10^3
Roman numerals
M D C X C I I
MDCXCII uses the subtractive pair XC: ten before a hundred — a hundred minus ten.
Binary
1 1 0 1 0 0 1 1 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,692
Octal
3 2 3 4
3 × 512 + 2 × 64 + 3 × 8 + 4 × 1 = 1,692
Hexadecimal
6 9 c
6 × 256 + 9 × 16 + c × 1 = 1,692
Read as powers of two: 1,024 + 512 + 128 + 16 + 8 + 4 = 1,692.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 9 hobbles, 2 strokes
1 × 1,000 + 6 × 100 + 9 × 10 + 2 × 1 = 1,692. 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 + 2 vertical wedges (units place)
28 × 60 + 12 = 1692. 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
- Abundant number
- Harshad (Niven) number
Related numbers & connections
1692 is a year in the 17th century, in the 1690s.
The Malleus Maleficarum was printed in 1487 and condemned as unsound by the Inquisition it invoked; the Salem trials of 1692 ended when spectral evidence was excluded. Both are about what counts as proof.
View 1487 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1487
why?
Strength 0.50, confidence "high".
History
In 1692, the Salem witch trials were held in Massachusetts (North America).
DocumentedHistoryGeography: North AmericaPeriod: 1692
Law & regulation
Salem's convictions rested largely on spectral evidence: claims about what a defendant's spirit had done, which no defence could rebut. Excluding that category of testimony ended the trials almost immediately, which is the clearest possible statement of what had been wrong.
DocumentedLaw & regulationGeography: MassachusettsPeriod: 1692
Common questions
Is 1692 a prime number?
No, 1692 is not prime.
What are the factors of 1692?
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692.
What is 1692 in Roman numerals?
1692 in Roman numerals is MDCXCII. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MDCLXXXXII, 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