582
BWV 582 is the Passacaglia and Fugue in C minor.
- Even
- Composite
Where 582 fits
Why 582 is special
It builds twenty variations over a repeating bass line, then converts that same line into a fugue subject, which is unusually systematic even for Bach.
Factors & digit properties
- Divisors (8)
- 1, 2, 3, 6, 97, 194, 291, 582
- Prime factorisation
- 2 × 3 × 97
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 582
- Scientific notation
- 5.820 × 10^2
Roman numerals
D L X X X I I
Binary
1 0 0 1 0 0 0 1 1 0
1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 582
Octal
1 1 0 6
1 × 512 + 1 × 64 + 0 × 8 + 6 × 1 = 582
Hexadecimal
2 4 6
2 × 256 + 4 × 16 + 6 × 1 = 582
Read as powers of two: 512 + 64 + 4 + 2 = 582.
In historical numeral systems
Egyptian
5 coils of rope, 8 hobbles, 2 strokes
5 × 100 + 8 × 10 + 2 × 1 = 582. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
9 vertical wedges (sixties place), 4 corner wedges + 2 vertical wedges (units place)
9 × 60 + 42 = 582. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
phi, then pi, then beta, marked as a numeral
phi-pi-beta + keraia
phi + pi + beta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
tav, then qof, then pe, then bet
tav-qof-pe-bet
tav (400) + qof (100) + pe (80) + bet (2) = 582, written in descending order.
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
Related numbers & connections
Both pair a free improvisatory movement with a strictly worked fugue.
View 542 →Other connections
- is associated with542
why?
Strength 0.50, confidence "high".
Media & popular culture
BWV 582 comprises a passacaglia of twenty variations over an ostinato bass, followed by a double fugue using the first half of that bass as its subject.
DocumentedMedia & popular cultureGeography: GermanyPeriod: c.1710
Common questions
Is 582 a prime number?
No, 582 is not prime.
What are the factors of 582?
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582.
What is 582 in Roman numerals?
582 in Roman numerals is DLXXXII.
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: 15 July 2026