8048
The 8048 is Intel's first single-chip microcontroller family.
- Even
- Composite
Where 8048 fits
Why 8048 is special
The original IBM PC keyboard contained one, which means the keyboard had its own computer inside it before the PC could read a key.
Factors & digit properties
- Divisors (10)
- 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048
- Prime factorisation
- 2^4 × 503
- Digit sum
- 20
- Digital root
- 2
Representations
- Decimal
- 8048
- Scientific notation
- 8.048 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 0 1 1 1 0 0 0 0
1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 8,048
Octal
1 7 5 6 0
1 × 4,096 + 7 × 512 + 5 × 64 + 6 × 8 + 0 × 1 = 8,048
Hexadecimal
1 f 7 0
1 × 4,096 + f × 256 + 7 × 16 + 0 × 1 = 8,048
Read as powers of two: 4,096 + 2,048 + 1,024 + 512 + 256 + 64 + 32 + 16 = 8,048.
In historical numeral systems
Egyptian
8 lotuses, 4 hobbles, 8 strokes
8 × 1,000 + 4 × 10 + 8 × 1 = 8,048. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
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
The 8048 was Intel's first single-chip microcontroller and the 8051 its far more widely adopted successor.
View 8051 →Other connections
- is associated with8051
why?
Strength 0.50, confidence "high".
Technology & computing
The 8048 integrates processor, RAM, ROM and I/O in one package. A member of the family served as the keyboard controller in the original IBM PC and its successors.
DocumentedTechnology & computingPeriod: 1976–
Common questions
Is 8048 a prime number?
No, 8048 is not prime.
What are the factors of 8048?
The factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048.
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