846
BWV 846 opens the Well-Tempered Clavier.
- Even
- Composite
Where 846 fits
Why 846 is special
Gounod later added a melody over its prelude to make the Ave Maria, which is one work built directly on top of another.
Factors & digit properties
- Divisors (12)
- 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
- Prime factorisation
- 2 × 3^2 × 47
- Digit sum
- 18
- Digital root
- 9
Representations
- Decimal
- 846
- Binary
- 1101001110
- Octal
- 1516
- Hexadecimal
- 34e
- Roman numeral
- DCCCXLVI
- Scientific notation
- 8.460 × 10^2
Other mathematical patterns
- Abundant number
- Harshad (Niven) number
Related numbers & connections
The first two preludes and fugues of a collection that works through all twenty-four keys.
View 847 →Both are Bach movements better known through later arrangements than in their original form.
View 1068 →Media & popular culture
BWV 846 is the Prelude and Fugue in C major opening the first book of the Well-Tempered Clavier. Charles Gounod superimposed a melody on the prelude in 1853 to produce his Ave Maria.
DocumentedMedia & popular cultureGeography: GermanyPeriod: 1722
Common questions
Is 846 a prime number?
No, 846 is not prime.
What are the factors of 846?
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846.
What is 846 in Roman numerals?
846 in Roman numerals is DCCCXLVI.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026