1682
1682 is the year Halley observed the comet that carries his name.
- Even
- Composite
Where 1682 fits
Why 1682 is special
Halley did not discover it; he calculated that comets recorded in 1531, 1607 and 1682 were one object and predicted its return. The prediction was confirmed in 1758, sixteen years after his death.
Same number, different meanings
How 1682 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Halley did not discover it; he calculated that comets recorded in 1531, 1607 and 1682 were one object and predicted its return. The prediction was confirmed in 1758, sixteen years after his death.
- History
In 1682, Pennsylvania was established under William Penn's charter (North America).
- Science
Halley's contribution was recognising that three separate comet sightings were one returning object, and predicting when it would come back. Its arrival in 1758 verified Newtonian gravitation on a timescale no experiment could, and Halley had been dead sixteen years.
1682 is part of
Factors & digit properties
- Divisors (6)
- 1, 2, 29, 58, 841, 1682
- Prime factorisation
- 2 × 29^2
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1682
- Scientific notation
- 1.682 × 10^3
Roman numerals
M D C L X X X I I
Binary
1 1 0 1 0 0 1 0 0 1 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,682
Octal
3 2 2 2
3 × 512 + 2 × 64 + 2 × 8 + 2 × 1 = 1,682
Hexadecimal
6 9 2
6 × 256 + 9 × 16 + 2 × 1 = 1,682
Read as powers of two: 1,024 + 512 + 128 + 16 + 2 = 1,682.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 8 hobbles, 2 strokes
1 × 1,000 + 6 × 100 + 8 × 10 + 2 × 1 = 1,682. 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), 2 vertical wedges (units place)
28 × 60 + 2 = 1682. 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
1682 is a year in the 17th century, in the 1680s.
Halley observed the comet in 1682, funded the printing of Newton's Principia in 1687, and used its gravitation to predict the comet's return. The three are one continuous piece of work.
View 1687 →History
In 1682, Pennsylvania was established under William Penn's charter (North America).
DocumentedHistoryGeography: North AmericaPeriod: 1682
Science
Halley's contribution was recognising that three separate comet sightings were one returning object, and predicting when it would come back. Its arrival in 1758 verified Newtonian gravitation on a timescale no experiment could, and Halley had been dead sixteen years.
DocumentedSciencePeriod: 1682
Common questions
Is 1682 a prime number?
No, 1682 is not prime.
What are the factors of 1682?
The factors of 1682 are 1, 2, 29, 58, 841, 1682.
What is 1682 in Roman numerals?
1682 in Roman numerals is MDCLXXXII.
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