Numberwise

732

732 is the year of the Battle of Tours.

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Where 732 fits

Where 732 fits: Mathematics, Related numbersMathematics: Harshad (Niven) number. Related numbers: 1683.MathematicsHarshad (Niven) numberRelated numbers1683732
732 connects to 2 worlds: mathematics, related numbers.

Why 732 is special

It is traditionally described as halting Muslim expansion into western Europe. Modern historians generally treat it as a raid repelled rather than a civilisational turning point, and the framing says as much about later historians as about the battle.

Same number, different meanings

How 732 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (12)
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Prime factorisation
2^2 × 3 × 61
Digit sum
12
Digital root
3

Representations

Decimal
732
Binary
1011011100
Octal
1334
Hexadecimal
2dc
Roman numeral
DCCXXXII
Scientific notation
7.320 × 10^2

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Connection
Tours in 732 and the second siege of Vienna in 1683 are both cited as moments Europe was defended. Modern scholarship treats the first as a raid repelled and the second as a genuine strategic limit.

Tours in 732 and the second siege of Vienna in 1683 are both cited as moments Europe was defended. Modern scholarship treats the first as a raid repelled and the second as a genuine strategic limit.

View 1683

Other connections

  • contrasts with1683
    why?

    Strength 0.50, confidence "high".

How is 732 connected to another number? →

Technology & computing

  • CWE-732 is incorrect permission assignment for a critical resource, including world-readable configuration files and cloud storage buckets left open to anonymous access.

    DocumentedTechnology & computingGeography: International — MITRE CWEPeriod: 2006–

History

  • Tours in 732 stopped a raiding force. Gibbon and later writers made it the moment Europe was saved, and current scholarship treats that reading as a projection rather than an assessment.

    DocumentedHistoryGeography: FrancePeriod: 732

Common questions

Is 732 a prime number?

No, 732 is not prime.

What are the factors of 732?

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732.

What is 732 in Roman numerals?

732 in Roman numerals is DCCXXXII.

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: 3 August 2026