Numberwise

1692

1692 is the year of the Salem witch trials.

1 confirmed record · 1 sourceChecked, general knowledgeHow we qualify claimsReport a correction

Where 1692 fits

Where 1692 fits: Mathematics, Related numbersMathematics: Harshad (Niven) number. Related numbers: 1487.MathematicsHarshad (Niven) numberRelated numbers14871692
1692 connects to 2 worlds: mathematics, related numbers.

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.

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
Binary
11010011100
Octal
3234
Hexadecimal
69c
Roman numeral
MDCXCII
Scientific notation
1.692 × 10^3

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Connection
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.

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

Other connections

  • is associated with1487
    why?

    Strength 0.50, confidence "high".

How is 1692 connected to another number? →

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.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026