1843
1843 is the year Ada Lovelace published the first algorithm intended for a machine.
- Odd
- Composite
Where 1843 fits
Why 1843 is special
Her notes on Babbage's Analytical Engine, longer than the paper she was translating, describe how it could compute Bernoulli numbers and speculate that machines might manipulate symbols beyond numbers.
Same number, different meanings
How 1843 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Her notes on Babbage's Analytical Engine, longer than the paper she was translating, describe how it could compute Bernoulli numbers and speculate that machines might manipulate symbols beyond numbers.
- History
In 1843, Ada Lovelace published notes on the Analytical Engine containing what is often called the first published algorithm for a machine (England).
- Technology & computing
Lovelace's 1843 notes set out a step-by-step method for the Analytical Engine to compute Bernoulli numbers. The machine was never completed, so the first program predates the first computer by a century.
1843 is part of
Factors & digit properties
- Divisors (4)
- 1, 19, 97, 1843
- Prime factorisation
- 19 × 97
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1843
- Scientific notation
- 1.843 × 10^3
Roman numerals
M D C C C X L I I I
MDCCCXLIII uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 1 0 0 1 1 0 0 1 1
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 1,843
Octal
3 4 6 3
3 × 512 + 4 × 64 + 6 × 8 + 3 × 1 = 1,843
Hexadecimal
7 3 3
7 × 256 + 3 × 16 + 3 × 1 = 1,843
Read as powers of two: 1,024 + 512 + 256 + 32 + 16 + 2 + 1 = 1,843.
In historical numeral systems
Egyptian
1 lotus, 8 coils of rope, 4 hobbles, 3 strokes
1 × 1,000 + 8 × 100 + 4 × 10 + 3 × 1 = 1,843. 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 + 3 vertical wedges (units place)
30 × 60 + 43 = 1843. 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
- Semiprime
Related numbers & connections
1843 is a year in the 19th century, in the 1840s.
Ada Lovelace described an algorithm for a machine in 1843 and Turing defined what a machine could compute in 1936. Both preceded any working computer.
View 1936 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- developed from1936
why?
Strength 0.50, confidence "high".
History
In 1843, Ada Lovelace published notes on the Analytical Engine containing what is often called the first published algorithm for a machine (England).
DocumentedHistoryGeography: EnglandPeriod: 1843
Technology & computing
Lovelace's 1843 notes set out a step-by-step method for the Analytical Engine to compute Bernoulli numbers. The machine was never completed, so the first program predates the first computer by a century.
DocumentedTechnology & computingGeography: EnglandPeriod: 1843
Common questions
Is 1843 a prime number?
No, 1843 is not prime.
What are the factors of 1843?
The factors of 1843 are 1, 19, 97, 1843.
What is 1843 in Roman numerals?
1843 in Roman numerals is MDCCCXLIII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCCXXXXIII, 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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026