1770
1770 is the year James Cook charted the east coast of Australia.
- Even
- Composite
Where 1770 fits
Why 1770 is special
Cook claimed the coast for Britain under the doctrine that it was terra nullius — land belonging to no one — despite the presence of peoples who had lived there for tens of thousands of years. Australian law formally rejected that doctrine in 1992.
Same number, different meanings
How 1770 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Cook claimed the coast for Britain under the doctrine that it was terra nullius — land belonging to no one — despite the presence of peoples who had lived there for tens of thousands of years. Australian law formally rejected that doctrine in 1992.
- History
In 1770, Ludwig van Beethoven was born (Germany).
- Law & regulation
Britain claimed eastern Australia in 1770 on the basis that the land belonged to no one. The High Court of Australia rejected that reasoning in the Mabo decision of 1992, which is an unusually explicit judicial repudiation of a founding claim.
1770 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
- Prime factorisation
- 2 × 3 × 5 × 59
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 1770
- Scientific notation
- 1.770 × 10^3
Roman numerals
M D C C L X X
Binary
1 1 0 1 1 1 0 1 0 1 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,770
Octal
3 3 5 2
3 × 512 + 3 × 64 + 5 × 8 + 2 × 1 = 1,770
Hexadecimal
6 e a
6 × 256 + e × 16 + a × 1 = 1,770
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 8 + 2 = 1,770.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 7 hobbles
1 × 1,000 + 7 × 100 + 7 × 10 = 1,770. 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), 3 corner wedges (units place)
29 × 60 + 30 = 1770. 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
- Triangular number
- Abundant number
- Hexagonal number
- Harshad (Niven) number
Related numbers & connections
1770 is a year in the 18th century, in the 1770s.
Cook claimed eastern Australia in 1770 and the First Fleet arrived in 1788. The doctrine of terra nullius that justified both was rejected by Australia's High Court in 1992.
View 1788 →History
In 1770, Ludwig van Beethoven was born (Germany).
DocumentedHistoryGeography: GermanyPeriod: 1770
Law & regulation
Britain claimed eastern Australia in 1770 on the basis that the land belonged to no one. The High Court of Australia rejected that reasoning in the Mabo decision of 1992, which is an unusually explicit judicial repudiation of a founding claim.
DocumentedLaw & regulationGeography: AustraliaPeriod: 1770
Common questions
Is 1770 a prime number?
No, 1770 is not prime.
What are the factors of 1770?
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770.
What is 1770 in Roman numerals?
1770 in Roman numerals is MDCCLXX.
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