Numberwise

8250

The 8250 UART is the chip the 16550 replaced.

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Where 8250 fits

Where 8250 fits: Mathematics, Related numbersMathematics: Harshad (Niven) number. Related numbers: 16550.MathematicsHarshad (Niven) numberRelated numbers165508250
8250 connects to 2 worlds: mathematics, related numbers.

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
Binary
10000000111010
Octal
20072
Hexadecimal
203a
Scientific notation
8.250 × 10^3

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Connection
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.

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".

How is 8250 connected to another number? →

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: 3 August 2026