1846
1846 is the year Neptune was found where mathematics said it would be.
- Even
- Composite
Where 1846 fits
Why 1846 is special
Two mathematicians independently predicted its position from irregularities in Uranus's orbit. The telescope search took under an hour. The subsequent priority dispute between Britain and France was more prolonged than the search.
1846 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 13, 26, 71, 142, 923, 1846
- Prime factorisation
- 2 × 13 × 71
- Digit sum
- 19
- Digital root
- 1
Representations
- Decimal
- 1846
- Scientific notation
- 1.846 × 10^3
Roman numerals
M D C C C X L V I
MDCCCXLVI uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 1 0 0 1 1 0 1 1 0
1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,846
Octal
3 4 6 6
3 × 512 + 4 × 64 + 6 × 8 + 6 × 1 = 1,846
Hexadecimal
7 3 6
7 × 256 + 3 × 16 + 6 × 1 = 1,846
Read as powers of two: 1,024 + 512 + 256 + 32 + 16 + 4 + 2 = 1,846.
In historical numeral systems
Egyptian
1 lotus, 8 coils of rope, 4 hobbles, 6 strokes
1 × 1,000 + 8 × 100 + 4 × 10 + 6 × 1 = 1,846. 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 + 6 vertical wedges (units place)
30 × 60 + 46 = 1846. 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
Related numbers & connections
1846 is a year in the 19th century, in the 1840s.
Neptune was found in 1846 and completed its first orbit since discovery in 2011, 165 years later.
View 60190 →Science
In 1846, Neptune was found within a degree of where Le Verrier's calculations said it would be, a planet predicted before it was seen (Prussia).
DocumentedScienceGeography: PrussiaPeriod: 1846Le Verrier and Adams independently calculated where an unseen planet must be. Galle found Neptune within a degree of the prediction on the first night. Confirming a theory by pointing a telescope at a calculated spot is about as direct as scientific prediction gets.
DocumentedSciencePeriod: 1846
Common questions
Is 1846 a prime number?
No, 1846 is not prime.
What are the factors of 1846?
The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846.
What is 1846 in Roman numerals?
1846 in Roman numerals is MDCCCXLVI. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCCXXXXVI, 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