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1770

1770 is the year James Cook charted the east coast of Australia.

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Where 1770 fits

Where 1770 fits: Mathematics, Related numbersMathematics: Triangular number, Hexagonal number, Harshad (Niven) number. Related numbers: 1788, 1606, 1768.MathematicsTriangular numberHexagonal numberHarshad (Niven) numberRelated numbers1788160617681770
1770 connects to 2 worlds: mathematics, related numbers.

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.

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
Binary
11011101010
Octal
3352
Hexadecimal
6ea
Roman numeral
MDCCLXX
Scientific notation
1.770 × 10^3

Other mathematical patterns

  • Triangular number
  • Abundant number
  • Hexagonal number
  • Harshad (Niven) number

Related numbers & connections

Connection
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.

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

Other connections

  • developed from1788
    why?

    Strength 0.50, confidence "high".

  • contrasts with1606
    why?

    Strength 0.50, confidence "high".

  • developed from1768
    why?

    Strength 0.50, confidence "high".

How is 1770 connected to another number? →

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: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026

1770 — Meaning, Facts and Properties | Numberwise