1772
1772 is the year an English court ruled slavery unsupported by English law.
- Even
- Composite
Where 1772 fits
Why 1772 is special
Somerset's case held that no positive law authorised slavery in England, so an enslaved man there could not be forcibly removed. It did not abolish slavery in the colonies, which is the distinction usually lost.
Same number, different meanings
How 1772 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Somerset's case held that no positive law authorised slavery in England, so an enslaved man there could not be forcibly removed. It did not abolish slavery in the colonies, which is the distinction usually lost.
- Science
In 1772, Daniel Rutherford isolated nitrogen, which he called 'noxious air' (Scotland).
- Law & regulation
Somerset's case in 1772 established that slavery had no basis in English domestic law. It left the institution untouched throughout the colonies, where it continued for another sixty years.
1772 is part of
Factors & digit properties
- Divisors (6)
- 1, 2, 4, 443, 886, 1772
- Prime factorisation
- 2^2 × 443
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1772
- Scientific notation
- 1.772 × 10^3
Roman numerals
M D C C L X X I I
Binary
1 1 0 1 1 1 0 1 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,772
Octal
3 3 5 4
3 × 512 + 3 × 64 + 5 × 8 + 4 × 1 = 1,772
Hexadecimal
6 e c
6 × 256 + e × 16 + c × 1 = 1,772
Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 8 + 4 = 1,772.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 7 hobbles, 2 strokes
1 × 1,000 + 7 × 100 + 7 × 10 + 2 × 1 = 1,772. 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 + 2 vertical wedges (units place)
29 × 60 + 32 = 1772. 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
- Deficient number
- Happy number
Related numbers & connections
1772 is a year in the 18th century, in the 1770s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Science
In 1772, Daniel Rutherford isolated nitrogen, which he called 'noxious air' (Scotland).
DocumentedScienceGeography: ScotlandPeriod: 1772
Law & regulation
Somerset's case in 1772 established that slavery had no basis in English domestic law. It left the institution untouched throughout the colonies, where it continued for another sixty years.
DocumentedLaw & regulationGeography: EnglandPeriod: 1772
Common questions
Is 1772 a prime number?
No, 1772 is not prime.
What are the factors of 1772?
The factors of 1772 are 1, 2, 4, 443, 886, 1772.
What is 1772 in Roman numerals?
1772 in Roman numerals is MDCCLXXII.
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