1871
1871 is the year the German Empire was proclaimed, unifying Germany.
- Odd
- Prime
Where 1871 fits
Why 1871 is special
Unification was declared at Versailles rather than in Germany, in the aftermath of the Franco-Prussian War, and it created a single large state where dozens of smaller ones had been. The manner of it left a grievance in France that shaped the following seventy years.
1871 is part of
Factors & digit properties
- Divisors (2)
- 1, 1871
- Prime factorisation
- 1871
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1871
- Scientific notation
- 1.871 × 10^3
Roman numerals
M D C C C L X X I
Binary
1 1 1 0 1 0 0 1 1 1 1
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 1,871
Octal
3 5 1 7
3 × 512 + 5 × 64 + 1 × 8 + 7 × 1 = 1,871
Hexadecimal
7 4 f
7 × 256 + 4 × 16 + f × 1 = 1,871
Read as powers of two: 1,024 + 512 + 256 + 64 + 8 + 4 + 2 + 1 = 1,871.
In historical numeral systems
Egyptian
1 lotus, 8 coils of rope, 7 hobbles, 1 stroke
1 × 1,000 + 8 × 100 + 7 × 10 + 1 × 1 = 1,871. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
3 corner wedges + 1 vertical wedge (sixties place), 1 corner wedge + 1 vertical wedge (units place)
31 × 60 + 11 = 1871. 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
- Twin prime
Related numbers & connections
1871 is a year in the 19th century, in the 1870s.
German unification in 1871 achieved by war what the 1848 revolutions had failed to achieve by constitution, which is why the two are so often discussed together.
View 1848 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1848
why?
Strength 0.50, confidence "high".
History
In 1871, the German Empire was proclaimed at Versailles, unifying the German states under Prussia (Europe).
DocumentedHistoryGeography: EuropePeriod: 1871The German Empire was proclaimed in the Hall of Mirrors at Versailles in January 1871, in the aftermath of the Franco-Prussian War. Unifying dozens of states into one large power changed the balance of Europe, and the choice of venue left a specific grievance in France that outlasted everyone present.
DocumentedHistoryGeography: Germany and FrancePeriod: 1871
Common questions
Is 1871 a prime number?
Yes, 1871 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 1871?
The factors of 1871 are 1, 1871.
What is 1871 in Roman numerals?
1871 in Roman numerals is MDCCCLXXI.
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