1788
1788 is the year the First Fleet arrived in Australia.
- Even
- Composite
Where 1788 fits
Why 1788 is special
Eleven ships carried about 1,400 people, most of them convicts, to a continent already inhabited for tens of thousands of years. The date is a national holiday and also a day of mourning, which is an unresolved tension rather than a settled one.
1788 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788
- Prime factorisation
- 2^2 × 3 × 149
- Digit sum
- 24
- Digital root
- 6
Representations
- Decimal
- 1788
- Scientific notation
- 1.788 × 10^3
Roman numerals
M D C C L X X X V I I I
Binary
1 1 0 1 1 1 1 1 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,788
Octal
3 3 7 4
3 × 512 + 3 × 64 + 7 × 8 + 4 × 1 = 1,788
Hexadecimal
6 f c
6 × 256 + f × 16 + c × 1 = 1,788
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 16 + 8 + 4 = 1,788.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 8 hobbles, 8 strokes
1 × 1,000 + 7 × 100 + 8 × 10 + 8 × 1 = 1,788. 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), 4 corner wedges + 8 vertical wedges (units place)
29 × 60 + 48 = 1788. 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
- Abundant number
Related numbers & connections
1788 is a year in the 18th century, in the 1780s.
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 1770 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- developed from1770
why?
Strength 0.50, confidence "high".
History
In 1788, the First Fleet established a British penal colony at Sydney Cove (Australia).
DocumentedHistoryGeography: AustraliaPeriod: 178826 January 1788 is marked as Australia Day and by many Indigenous Australians as Invasion Day. The same date carries both meanings simultaneously, and the dispute over it is active rather than historical.
DocumentedHistoryGeography: AustraliaPeriod: 1788
Common questions
Is 1788 a prime number?
No, 1788 is not prime.
What are the factors of 1788?
The factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788.
What is 1788 in Roman numerals?
1788 in Roman numerals is MDCCLXXXVIII.
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