1687
1687 is the year Newton published the Principia.
- Odd
- Composite
Where 1687 fits
Why 1687 is special
The Principia set out the laws of motion and universal gravitation and showed that the same rules govern a falling apple and an orbiting moon. It was written in Latin, in geometric rather than algebraic form, and Halley paid for the printing himself.
Same number, different meanings
How 1687 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The Principia set out the laws of motion and universal gravitation and showed that the same rules govern a falling apple and an orbiting moon. It was written in Latin, in geometric rather than algebraic form, and Halley paid for the printing himself.
- History
In 1687, Newton's Principia set out the laws of motion and universal gravitation (England).
- Science
The Principia showed that one set of laws governs a falling apple and an orbiting moon. It was written in Latin and argued geometrically rather than algebraically, and Halley funded the printing personally when the Royal Society could not.
- Technology & computing
IEEE 1687, known as IJTAG, standardises access to instrumentation embedded in a device, extending the boundary scan interface inward to sensors and built-in self-test.
1687 is part of
Factors & digit properties
- Divisors (4)
- 1, 7, 241, 1687
- Prime factorisation
- 7 × 241
- Digit sum
- 22
- Digital root
- 4
Representations
- Decimal
- 1687
- Scientific notation
- 1.687 × 10^3
Roman numerals
M D C L X X X V I I
Binary
1 1 0 1 0 0 1 0 1 1 1
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 1,687
Octal
3 2 2 7
3 × 512 + 2 × 64 + 2 × 8 + 7 × 1 = 1,687
Hexadecimal
6 9 7
6 × 256 + 9 × 16 + 7 × 1 = 1,687
Read as powers of two: 1,024 + 512 + 128 + 16 + 4 + 2 + 1 = 1,687.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 8 hobbles, 7 strokes
1 × 1,000 + 6 × 100 + 8 × 10 + 7 × 1 = 1,687. 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), 7 vertical wedges (units place)
28 × 60 + 7 = 1687. 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
- Semiprime
Related numbers & connections
1687 is a year in the 17th century, in the 1680s.
Newtonian gravitation is what let astronomers infer an unseen planet from orbital irregularities — the method that found Uranus's successor and confirmed the theory that predicted it.
View 1781 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
History
In 1687, Newton's Principia set out the laws of motion and universal gravitation (England).
DocumentedHistoryGeography: EnglandPeriod: 1687
Science
The Principia showed that one set of laws governs a falling apple and an orbiting moon. It was written in Latin and argued geometrically rather than algebraically, and Halley funded the printing personally when the Royal Society could not.
DocumentedSciencePeriod: 1687
Technology & computing
IEEE 1687, known as IJTAG, standardises access to instrumentation embedded in a device, extending the boundary scan interface inward to sensors and built-in self-test.
DocumentedTechnology & computingGeography: International — IEEEPeriod: 2014–
Common questions
Is 1687 a prime number?
No, 1687 is not prime.
What are the factors of 1687?
The factors of 1687 are 1, 7, 241, 1687.
What is 1687 in Roman numerals?
1687 in Roman numerals is MDCLXXXVII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026