1740
1740 is the year the War of the Austrian Succession began.
- Even
- Composite
Where 1740 fits
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.
1740 is part of
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
- Scientific notation
- 1.740 × 10^3
Roman numerals
M D C C X L
MDCCXL uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 0 1 1 0 0 1 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,740
Octal
3 3 1 4
3 × 512 + 3 × 64 + 1 × 8 + 4 × 1 = 1,740
Hexadecimal
6 c c
6 × 256 + c × 16 + c × 1 = 1,740
Read as powers of two: 1,024 + 512 + 128 + 64 + 8 + 4 = 1,740.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 4 hobbles
1 × 1,000 + 7 × 100 + 4 × 10 = 1,740. 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), empty units place
29 × 60 + 0 = 1740. Places are separated by a space on the tablet, with the higher place written first. The second place is empty, and this is precisely the case the early system could not write unambiguously — the same wedges alone would also read as 1.
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
- Harshad (Niven) number
Related numbers & connections
1740 is a year in the 18th century, in the 1740s.
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 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- developed from1756
why?
Strength 0.50, confidence "high".
History
In 1740, the War of the Austrian Succession began (Europe).
DocumentedHistoryGeography: EuropePeriod: 1740Maria 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. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCXXXX, 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