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1764

1764 is the year the spinning jenny was invented.

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Where 1764 fits

Where 1764 fits: Mathematics, Related numbersMathematics: Perfect square, Powerful number, Harshad (Niven) number. Related numbers: 1733, 1589.MathematicsPerfect squarePowerful numberHarshad (Niven) numberRelated numbers173315891764
1764 connects to 2 worlds: mathematics, related numbers.

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.

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
Binary
11011100100
Octal
3344
Hexadecimal
6e4
Roman numeral
MDCCLXIV
Scientific notation
1.764 × 10^3

Other mathematical patterns

  • Abundant number
  • Powerful number
  • Harshad (Niven) number

Related numbers & connections

Connection
The flying shuttle of 1733 made weaving faster than spinning and created the shortage the spinning jenny answered thirty-one years later.

The flying shuttle of 1733 made weaving faster than spinning and created the shortage the spinning jenny answered thirty-one years later.

View 1733

Other connections

  • developed from1733
    why?

    Strength 0.50, confidence "high".

  • contrasts with1589
    why?

    Strength 0.50, confidence "high".

How is 1764 connected to another number? →

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.

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

1764 — Meaning, Facts and Properties | Numberwise