1764
1764 is the year the spinning jenny was invented.
Where 1764 fits
Why 1764 is special
One worker could spin eight threads at once and later many more. Hand spinners destroyed the machines, which is a straightforward response to a device that eliminated their livelihood rather than an irrational one.
Same number, different meanings
How 1764 is understood across different contexts — never implying one meaning because of another.
- Mathematics
One worker could spin eight threads at once and later many more. Hand spinners destroyed the machines, which is a straightforward response to a device that eliminated their livelihood rather than an irrational one.
- Technology & computing
In 1764, the spinning jenny was developed, letting one worker spin several threads at once (England).
- Finance & economics
The spinning jenny multiplied one worker's output several times over and destroyed the piecework income of hand spinners. The attacks on the machines are usually framed as ignorance and read better as accurate economic self-assessment.
1764 is part of
Factors & digit properties
- Divisors (27)
- 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
- Prime factorisation
- 2^2 × 3^2 × 7^2
- Digit sum
- 18
- Digital root
- 9
Representations
- Decimal
- 1764
- Scientific notation
- 1.764 × 10^3
Roman numerals
M D C C L X I V
MDCCLXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 1 0 1 1 1 0 0 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,764
Octal
3 3 4 4
3 × 512 + 3 × 64 + 4 × 8 + 4 × 1 = 1,764
Hexadecimal
6 e 4
6 × 256 + e × 16 + 4 × 1 = 1,764
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 4 = 1,764.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 6 hobbles, 4 strokes
1 × 1,000 + 7 × 100 + 6 × 10 + 4 × 1 = 1,764. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 9 vertical wedges (sixties place), 2 corner wedges + 4 vertical wedges (units place)
29 × 60 + 24 = 1764. 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
- Powerful number
- Harshad (Niven) number
Related numbers & connections
1764 is a year in the 18th century, in the 1760s.
The flying shuttle of 1733 made weaving faster than spinning and created the shortage the spinning jenny answered thirty-one years later.
View 1733 →Technology & computing
In 1764, the spinning jenny was developed, letting one worker spin several threads at once (England).
DocumentedTechnology & computingGeography: EnglandPeriod: 1764
Finance & economics
The spinning jenny multiplied one worker's output several times over and destroyed the piecework income of hand spinners. The attacks on the machines are usually framed as ignorance and read better as accurate economic self-assessment.
DocumentedFinance & economicsGeography: EnglandPeriod: 1764
Common questions
Is 1764 a prime number?
No, 1764 is not prime.
What are the factors of 1764?
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
What is 1764 in Roman numerals?
1764 in Roman numerals is MDCCLXIV. IV is subtractive: one before five — five minus one. Written additively it would be MDCCLXIIII, 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