1768
1768 is the year Cook's first voyage set out.
- Even
- Composite
Where 1768 fits
Why 1768 is special
Its stated purpose was observing the transit of Venus from Tahiti to help measure the solar system's scale. Sealed orders directed him afterwards to search for a southern continent.
Same number, different meanings
How 1768 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Its stated purpose was observing the transit of Venus from Tahiti to help measure the solar system's scale. Sealed orders directed him afterwards to search for a southern continent.
- History
In 1768, James Cook's first voyage set out, tasked with observing the transit of Venus from Tahiti (Pacific).
- Geography
Cook's first voyage was announced as a mission to observe the 1769 transit of Venus, which it did. Sealed orders to look for a southern continent were opened afterwards, so the scientific purpose was genuine and not the only one.
1768 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768
- Prime factorisation
- 2^3 × 13 × 17
- Digit sum
- 22
- Digital root
- 4
Representations
- Decimal
- 1768
- Scientific notation
- 1.768 × 10^3
Roman numerals
M D C C L X V I I I
Binary
1 1 0 1 1 1 0 1 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,768
Octal
3 3 5 0
3 × 512 + 3 × 64 + 5 × 8 + 0 × 1 = 1,768
Hexadecimal
6 e 8
6 × 256 + e × 16 + 8 × 1 = 1,768
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 8 = 1,768.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 6 hobbles, 8 strokes
1 × 1,000 + 7 × 100 + 6 × 10 + 8 × 1 = 1,768. 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), 2 corner wedges + 8 vertical wedges (units place)
29 × 60 + 28 = 1768. 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
1768 is a year in the 18th century, in the 1760s.
Cook's first voyage set out in 1768 to observe the transit of Venus and charted the east coast of Australia in 1770 under sealed orders opened afterwards.
View 1770 →History
In 1768, James Cook's first voyage set out, tasked with observing the transit of Venus from Tahiti (Pacific).
DocumentedHistoryGeography: PacificPeriod: 1768
Geography
Cook's first voyage was announced as a mission to observe the 1769 transit of Venus, which it did. Sealed orders to look for a southern continent were opened afterwards, so the scientific purpose was genuine and not the only one.
DocumentedGeographyGeography: Britain and the PacificPeriod: 1768
Common questions
Is 1768 a prime number?
No, 1768 is not prime.
What are the factors of 1768?
The factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768.
What is 1768 in Roman numerals?
1768 in Roman numerals is MDCCLXVIII.
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