Numberwise

8009

Port 8009 carries the AJP protocol between a web server and Tomcat.

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Where 8009 fits

Where 8009 fits: Mathematics, Related numbersMathematics: Prime, Twin prime. Related numbers: 8081.MathematicsPrimeTwin primeRelated numbers80818009
8009 connects to 2 worlds: mathematics, related numbers.

Why 8009 is special

A 2020 vulnerability named Ghostcat let anyone reaching the port read files from the application. It had been enabled by default for years.

8009 is part of

Factors & digit properties

Divisors (2)
1, 8009
Prime factorisation
8009
Digit sum
17
Digital root
8

Representations

Decimal
8009
Scientific notation
8.009 × 10^3

Roman numerals

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

Binary

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

1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 8,009

Octal

1 7 5 1 1

1 × 4,096 + 7 × 512 + 5 × 64 + 1 × 8 + 1 × 1 = 8,009

Hexadecimal

1 f 4 9

1 × 4,096 + f × 256 + 4 × 16 + 9 × 1 = 8,009

Read as powers of two: 4,096 + 2,048 + 1,024 + 512 + 256 + 64 + 8 + 1 = 8,009.

In historical numeral systems

Egyptian

8 lotuses, 9 strokes

8 × 1,000 + 9 × 1 = 8,009. 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
AJP on 8009 connects a web server to Tomcat and was enabled by default for years, which turned into file disclosure when Ghostcat was published in 2020.

AJP on 8009 connects a web server to Tomcat and was enabled by default for years, which turned into file disclosure when Ghostcat was published in 2020.

View 8081

Other connections

  • is associated with8081
    why?

    Strength 0.50, confidence "high".

How is 8009 connected to another number? →

Technology & computing

  • AJP on 8009 was enabled by default in Tomcat for years. The 2020 Ghostcat flaw turned that default into file disclosure on any exposed server, and the fix was largely to stop enabling it.

    DocumentedTechnology & computingPeriod: 2020

Common questions

Is 8009 a prime number?

Yes, 8009 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 8009?

The factors of 8009 are 1, 8009.

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