Numberwise

8259

The 8259 interrupt controller decided which device got the processor's attention.

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Where 8259 fits

Where 8259 fits: Mathematics, Related numbersMathematics: Semiprime. Related numbers: 8253.MathematicsSemiprimeRelated numbers82538259
8259 connects to 2 worlds: mathematics, related numbers.

Why 8259 is special

With only eight inputs, two had to be cascaded to reach fifteen usable interrupts, and running out of them was the defining frustration of installing expansion cards before plug-and-play.

Factors & digit properties

Divisors (4)
1, 3, 2753, 8259
Prime factorisation
3 × 2753
Digit sum
24
Digital root
6

Representations

Decimal
8259
Scientific notation
8.259 × 10^3

Roman numerals

Roman numerals as modelled here goes up to 3,999.

Binary

1 0 0 0 0 0 0 1 0 0 0 0 1 1

1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 8,259

Octal

2 0 1 0 3

2 × 4,096 + 0 × 512 + 1 × 64 + 0 × 8 + 3 × 1 = 8,259

Hexadecimal

2 0 4 3

2 × 4,096 + 0 × 256 + 4 × 16 + 3 × 1 = 8,259

Read as powers of two: 8,192 + 64 + 2 + 1 = 8,259.

In historical numeral systems

Egyptian

8 lotuses, 2 coils of rope, 5 hobbles, 9 strokes

8 × 1,000 + 2 × 100 + 5 × 10 + 9 × 1 = 8,259. 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

Related numbers & connections

Connection
The 8253 timer and 8259 interrupt controller are two of the support chips that defined the original IBM PC architecture, and both left constraints that outlived the hardware.

The 8253 timer and 8259 interrupt controller are two of the support chips that defined the original IBM PC architecture, and both left constraints that outlived the hardware.

View 8253 →

Other connections

  • is associated with8253
    why?

    Strength 0.50, confidence "high".

How is 8259 connected to another number? →

Technology & computing

  • RFC 8259 is the current specification of the JSON data interchange format, resolving earlier ambiguities about duplicate keys, top-level values and character encoding across several previous documents.

    DocumentedTechnology & computingGeography: International — IETFPeriod: 2017

  • The 8259 offered fifteen interrupt lines across two cascaded chips, and every card needed one. Interrupt conflicts were the standard failure of PC expansion for over a decade.

    DocumentedTechnology & computing

Common questions

Is 8259 a prime number?

No, 8259 is not prime.

What are the factors of 8259?

The factors of 8259 are 1, 3, 2753, 8259.

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