1848
1848 is the year of revolutions across Europe, and of the Communist Manifesto.
- Even
- Composite
Where 1848 fits
Why 1848 is special
1848 saw uprisings in more than fifty countries and states within months of each other, driven by food shortages, censorship and demands for constitutional government. Almost all were suppressed within a year. The Communist Manifesto was published in London in February, before most of the risings began rather than in response to them.
Same number, different meanings
How 1848 is understood across different contexts — never implying one meaning because of another.
- Mathematics
1848 saw uprisings in more than fifty countries and states within months of each other, driven by food shortages, censorship and demands for constitutional government. Almost all were suppressed within a year. The Communist Manifesto was published in London in February, before most of the risings began rather than in response to them.
- History
In 1848, revolutions swept Europe, and Marx and Engels published The Communist Manifesto (Europe).
- Science
IC 1848 forms a widely photographed pair with IC 1805, the two lying at similar distances in the Perseus arm and often imaged in one frame.
1848 is part of
Factors & digit properties
- Divisors (32)
- 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848
- Prime factorisation
- 2^3 × 3 × 7 × 11
- Digit sum
- 21
- Digital root
- 3
Representations
- Decimal
- 1848
- Scientific notation
- 1.848 × 10^3
Roman numerals
M D C C C X L V I I I
MDCCCXLVIII uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 1 0 0 1 1 1 0 0 0
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,848
Octal
3 4 7 0
3 × 512 + 4 × 64 + 7 × 8 + 0 × 1 = 1,848
Hexadecimal
7 3 8
7 × 256 + 3 × 16 + 8 × 1 = 1,848
Read as powers of two: 1,024 + 512 + 256 + 32 + 16 + 8 = 1,848.
In historical numeral systems
Egyptian
1 lotus, 8 coils of rope, 4 hobbles, 8 strokes
1 × 1,000 + 8 × 100 + 4 × 10 + 8 × 1 = 1,848. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
3 corner wedges (sixties place), 4 corner wedges + 8 vertical wedges (units place)
30 × 60 + 48 = 1848. 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
- Harshad (Niven) number
Related numbers & connections
1848 is a year in the 19th century, in the 1840s.
Two years of near-simultaneous unrest across many countries with different local causes. In both cases treating the events as one movement is a retrospective framing rather than something participants shared.
View 1968 →History
In 1848, revolutions swept Europe, and Marx and Engels published The Communist Manifesto (Europe).
DocumentedHistoryGeography: EuropePeriod: 1848The 1848 revolutions spread across more than fifty countries and states within months, driven by harvest failure, censorship and demands for constitutions. Almost every one was suppressed within a year. Their significance is less what they achieved than what they demonstrated about how fast unrest could propagate.
DocumentedHistoryGeography: Europe
Science
IC 1848 forms a widely photographed pair with IC 1805, the two lying at similar distances in the Perseus arm and often imaged in one frame.
DocumentedSciencePeriod: 1787–
Common questions
Is 1848 a prime number?
No, 1848 is not prime.
What are the factors of 1848?
The factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848.
What is 1848 in Roman numerals?
1848 in Roman numerals is MDCCCXLVIII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCCXXXXVIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026