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1740

1740 is the year the War of the Austrian Succession began.

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Where 1740 fits

Where 1740 fits: Mathematics, Related numbersMathematics: Harshad (Niven) number. Related numbers: 1756.MathematicsHarshad (Niven) numberRelated numbers17561740
1740 connects to 2 worlds: mathematics, related numbers.

Why 1740 is special

It started because a woman inherited the Habsburg lands and several powers had guaranteed her succession and then ignored their guarantees. Treaty obligations proved worth less than opportunity.

Factors & digit properties

Divisors (24)
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740
Prime factorisation
2^2 × 3 × 5 × 29
Digit sum
12
Digital root
3

Representations

Decimal
1740
Binary
11011001100
Octal
3314
Hexadecimal
6cc
Roman numeral
MDCCXL
Scientific notation
1.740 × 10^3

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Connection
The War of the Austrian Succession from 1740 and the Seven Years' War from 1756 involved the same powers realigning, with Britain and Austria swapping partners between them.

The War of the Austrian Succession from 1740 and the Seven Years' War from 1756 involved the same powers realigning, with Britain and Austria swapping partners between them.

View 1756

Other connections

  • developed from1756
    why?

    Strength 0.50, confidence "high".

How is 1740 connected to another number? →

History

  • Maria Theresa's succession had been guaranteed by treaty by most of Europe. Prussia invaded within weeks of her accession and others followed, which is a plain demonstration of what such guarantees were worth.

    DocumentedHistoryGeography: Central EuropePeriod: 1740

Common questions

Is 1740 a prime number?

No, 1740 is not prime.

What are the factors of 1740?

The factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740.

What is 1740 in Roman numerals?

1740 in Roman numerals is MDCCXL.

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

1740 — Mathematical Properties and Representations | Numberwise