Numberwise

1333

CWE-1333 is inefficient regular expression complexity.

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Where 1333 fits

Where 1333 fits: Mathematics, History, Related numbersMathematics: Happy number, Semiprime. History: Historical years. Related numbers: 400.MathematicsHappy numberSemiprimeHistoryHistorical yearsRelated numbers4001333
1333 connects to 3 worlds: mathematics, history, related numbers.

Why 1333 is special

A pattern that backtracks exponentially turns a short input into minutes of processor time, which is a denial of service written accidentally.

Same number, different meanings

How 1333 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (4)
1, 31, 43, 1333
Prime factorisation
31 × 43
Digit sum
10
Digital root
1

Representations

Decimal
1333
Scientific notation
1.333 × 10^3

Roman numerals

M C C C X X X I I I

Binary

1 0 1 0 0 1 1 0 1 0 1

1 × 1,024 + 0 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 1,333

Octal

2 4 6 5

2 × 512 + 4 × 64 + 6 × 8 + 5 × 1 = 1,333

Hexadecimal

5 3 5

5 × 256 + 3 × 16 + 5 × 1 = 1,333

Read as powers of two: 1,024 + 256 + 32 + 16 + 4 + 1 = 1,333.

In historical numeral systems

Egyptian

1 lotus, 3 coils of rope, 3 hobbles, 3 strokes

1 × 1,000 + 3 × 100 + 3 × 10 + 3 × 1 = 1,333. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 2 vertical wedges (sixties place), 1 corner wedge + 3 vertical wedges (units place)

22 × 60 + 13 = 1333. Places are separated by a space on the tablet, with the higher place written first.

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

Documented appearance
1333 is a year in the 14th century, in the 1330s.

1333 is a year in the 14th century, in the 1330s.

Connection
A pattern that backtracks exponentially is uncontrolled resource consumption written by accident.

A pattern that backtracks exponentially is uncontrolled resource consumption written by accident.

View 400

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with400
    why?

    Strength 0.50, confidence "high".

How is 1333 connected to another number? →

History

  • In 1333, the Kamakura shogunate fell and imperial rule was briefly restored (Japan).

    DocumentedHistoryGeography: JapanPeriod: 1333

Technology & computing

  • CWE-1333 covers regular expressions whose backtracking behaviour is exponential in input length. Modest crafted inputs can consume disproportionate processing time.

    DocumentedTechnology & computingGeography: International — MITRE CWEPeriod: 2006–

Common questions

Is 1333 a prime number?

No, 1333 is not prime.

What are the factors of 1333?

The factors of 1333 are 1, 31, 43, 1333.

What is 1333 in Roman numerals?

1333 in Roman numerals is MCCCXXXIII.

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