Numberwise

1761

1761 is the year the Bridgewater Canal opened.

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Where 1761 fits

Where 1761 fits: Mathematics, Related numbersMathematics: Semiprime. Related numbers: 1830.MathematicsSemiprimeRelated numbers18301761
1761 connects to 2 worlds: mathematics, related numbers.

Why 1761 is special

It halved the price of coal in Manchester and set off two decades of canal building. Cheap bulk transport is a precondition for industrialisation that is easy to overlook next to the machinery.

Factors & digit properties

Divisors (4)
1, 3, 587, 1761
Prime factorisation
3 × 587
Digit sum
15
Digital root
6

Representations

Decimal
1761
Binary
11011100001
Octal
3341
Hexadecimal
6e1
Roman numeral
MDCCLXI
Scientific notation
1.761 × 10^3

Other mathematical patterns

Related numbers & connections

Connection
The Bridgewater Canal of 1761 halved Manchester coal prices and triggered a canal boom; the Liverpool and Manchester Railway of 1830 began replacing the canals within seventy years.

The Bridgewater Canal of 1761 halved Manchester coal prices and triggered a canal boom; the Liverpool and Manchester Railway of 1830 began replacing the canals within seventy years.

View 1830

Other connections

  • developed from1830
    why?

    Strength 0.50, confidence "high".

How is 1761 connected to another number? →

Finance & economics

  • The Bridgewater Canal halved Manchester coal prices in 1761 and triggered a national canal boom. Industrialisation required moving heavy goods cheaply before it required better machines.

    DocumentedFinance & economicsGeography: EnglandPeriod: 1761

Common questions

Is 1761 a prime number?

No, 1761 is not prime.

What are the factors of 1761?

The factors of 1761 are 1, 3, 587, 1761.

What is 1761 in Roman numerals?

1761 in Roman numerals is MDCCLXI.

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