31,337
31337 spells 'eleet' in leetspeak and was the Back Orifice trojan's default port.
- Odd
- Prime
Where 31,337 fits
Why 31,337 is special
The number is the clearest single artefact of 1990s hacker culture: a numeric pun that became a port, a version number and a joke that outlived the software. Back Orifice itself was released in 1998 as a deliberate embarrassment to Microsoft.
31,337 is part of
Factors & digit properties
- Divisors (2)
- 1, 31337
- Prime factorisation
- 31337
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 31337
- Scientific notation
- 3.134 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 0 1 0 0 1 1 0 1 0 0 1
1 × 16,384 + 1 × 8,192 + 1 × 4,096 + 1 × 2,048 + 0 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 31,337
Octal
7 5 1 5 1
7 × 4,096 + 5 × 512 + 1 × 64 + 5 × 8 + 1 × 1 = 31,337
Hexadecimal
7 a 6 9
7 × 4,096 + a × 256 + 6 × 16 + 9 × 1 = 31,337
Read as powers of two: 16,384 + 8,192 + 4,096 + 2,048 + 512 + 64 + 32 + 8 + 1 = 31,337.
In historical numeral systems
Egyptian
3 fingers, 1 lotus, 3 coils of rope, 3 hobbles, 7 strokes
3 × 10,000 + 1 × 1,000 + 3 × 100 + 3 × 10 + 7 × 1 = 31,337. 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
Two artefacts of early phone and computer hacking culture: the tone that unlocked long-distance trunks, and the numeric pun that became a trojan's default port.
View 2600 →Culture
31337 renders 'eleet' in letter-for-digit substitution and was chosen as the Back Orifice default for that reason. It survives in port numbers, version strings and jokes long after the tool and the bulletin-board culture that produced it.
DocumentedCultureCulture: 1990s internet and hacker culture
Common questions
Is 31,337 a prime number?
Yes, 31,337 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 31,337?
The factors of 31,337 are 1, 31337.
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