1048
BWV 1048 is Bach's Third Brandenburg Concerto.
- Even
- Composite
Where 1048 fits
Why 1048 is special
The six Brandenburg Concertos were sent to a margrave who appears never to have had them played, and they sat unexamined in a library for over a century before publication.
Same number, different meanings
How 1048 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The six Brandenburg Concertos were sent to a margrave who appears never to have had them played, and they sat unexamined in a library for over a century before publication.
- History
In 1048, Damasus II's twenty-three-day pontificate was one of several short reigns that prompted reform of papal elections (Europe).
- Culture
Bach presented the Brandenburg Concertos to the Margrave of Brandenburg in 1721, apparently seeking employment. There is no evidence they were performed, and they were not published until 1850.
1048 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 4, 8, 131, 262, 524, 1048
- Prime factorisation
- 2^3 × 131
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 1048
- Scientific notation
- 1.048 × 10^3
Roman numerals
M X L V I I I
MXLVIII uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 0 0 0 0 0 1 1 0 0 0
1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,048
Octal
2 0 3 0
2 × 512 + 0 × 64 + 3 × 8 + 0 × 1 = 1,048
Hexadecimal
4 1 8
4 × 256 + 1 × 16 + 8 × 1 = 1,048
Read as powers of two: 1,024 + 16 + 8 = 1,048.
In historical numeral systems
Egyptian
1 lotus, 4 hobbles, 8 strokes
1 × 1,000 + 4 × 10 + 8 × 1 = 1,048. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 7 vertical wedges (sixties place), 2 corner wedges + 8 vertical wedges (units place)
17 × 60 + 28 = 1048. 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
1048 is a year in the 11th century, in the 1040s.
BWV numbers group Bach's works by genre rather than date, which makes the catalogue excellent for finding a piece and useless for dating one.
View 1041 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1041
why?
Strength 0.50, confidence "high".
History
In 1048, Damasus II's twenty-three-day pontificate was one of several short reigns that prompted reform of papal elections (Europe).
DocumentedHistoryGeography: EuropePeriod: 1048
Culture
Bach presented the Brandenburg Concertos to the Margrave of Brandenburg in 1721, apparently seeking employment. There is no evidence they were performed, and they were not published until 1850.
DocumentedCultureGeography: GermanyPeriod: 1721
Common questions
Is 1048 a prime number?
No, 1048 is not prime.
What are the factors of 1048?
The factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048.
What is 1048 in Roman numerals?
1048 in Roman numerals is MXLVIII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MXXXXVIII, 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