8250
The 8250 UART is the chip the 16550 replaced.
- Even
- Composite
Where 8250 fits
Why 8250 is special
It could hold a single byte, so an interrupt had to be serviced before the next character arrived. At higher speeds that became impossible, which is why fast modems needed a buffered replacement.
Factors & digit properties
- Divisors (32)
- 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
- Prime factorisation
- 2 × 3 × 5^3 × 11
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 8250
- Scientific notation
- 8.250 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 0 0 0 0 1 1 1 0 1 0
1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 8,250
Octal
2 0 0 7 2
2 × 4,096 + 0 × 512 + 0 × 64 + 7 × 8 + 2 × 1 = 8,250
Hexadecimal
2 0 3 a
2 × 4,096 + 0 × 256 + 3 × 16 + a × 1 = 8,250
Read as powers of two: 8,192 + 32 + 16 + 8 + 2 = 8,250.
In historical numeral systems
Egyptian
8 lotuses, 2 coils of rope, 5 hobbles
8 × 1,000 + 2 × 100 + 5 × 10 = 8,250. 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
- Abundant number
- Harshad (Niven) number
Related numbers & connections
The 8250 held one character and lost data at speed; the 16550 added a 16-byte buffer and fixed it. Modern systems still emulate the 16550's registers.
View 16550 →Other connections
- developed from16550
why?
Strength 0.50, confidence "high".
Technology & computing
The 8250 held one character, so any delay in servicing it lost data. The limit is why 9,600 bps modems worked on old serial ports and faster ones did not.
DocumentedTechnology & computing
Common questions
Is 8250 a prime number?
No, 8250 is not prime.
What are the factors of 8250?
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250.
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