Numberwise

1431

1431 is the year Joan of Arc was executed.

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Where 1431 fits

Where 1431 fits: Mathematics, History, Related numbersMathematics: Triangular number, Hexagonal number, Harshad (Niven) number. History: Historical years. Related numbers: 1415.MathematicsTriangular numberHexagonal numberHarshad (Niven) numberHistoryHistorical yearsRelated numbers14151431
1431 connects to 3 worlds: mathematics, history, related numbers.

Why 1431 is special

She was nineteen, tried by a court with a political interest in the verdict, and convicted on a charge of wearing men's clothing after the original heresy case faltered. A retrial twenty-five years later annulled the conviction entirely.

Factors & digit properties

Divisors (8)
1, 3, 9, 27, 53, 159, 477, 1431
Prime factorisation
3^3 × 53
Digit sum
9
Digital root
9

Representations

Decimal
1431
Scientific notation
1.431 × 10^3

Roman numerals

M C D X X X I

MCDXXXI uses the subtractive pair CD: a hundred before five hundred — five hundred minus a hundred.

Binary

1 0 1 1 0 0 1 0 1 1 1

1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 1,431

Octal

2 6 2 7

2 × 512 + 6 × 64 + 2 × 8 + 7 × 1 = 1,431

Hexadecimal

5 9 7

5 × 256 + 9 × 16 + 7 × 1 = 1,431

Read as powers of two: 1,024 + 256 + 128 + 16 + 4 + 2 + 1 = 1,431.

In historical numeral systems

Egyptian

1 lotus, 4 coils of rope, 3 hobbles, 1 stroke

1 × 1,000 + 4 × 100 + 3 × 10 + 1 × 1 = 1,431. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 3 vertical wedges (sixties place), 5 corner wedges + 1 vertical wedge (units place)

23 × 60 + 51 = 1431. 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

  • Triangular number
  • Deficient number
  • Hexagonal number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1431 is a year in the 15th century, in the 1430s.

1431 is a year in the 15th century, in the 1430s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

  • appears alongside1415
    why?

    Strength 0.50, confidence "high".

How is 1431 connected to another number? →

History

  • In 1431, Joan of Arc was burned at Rouen at about nineteen (France).

    DocumentedHistoryGeography: FrancePeriod: 1431
  • Joan of Arc was burned in 1431 after a trial whose judges were aligned with her enemies, convicted on a clothing charge once the heresy case weakened. A papal rehabilitation trial in 1456 annulled the verdict, which is unusual enough to be worth stating alongside the execution.

    DocumentedHistoryGeography: FrancePeriod: 1431

Common questions

Is 1431 a prime number?

No, 1431 is not prime.

What are the factors of 1431?

The factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431.

What is 1431 in Roman numerals?

1431 in Roman numerals is MCDXXXI. CD is subtractive: a hundred before five hundred — five hundred minus a hundred. Written additively it would be MCCCCXXXI, which Roman inscriptions used freely — the strict subtractive form is a later convention.

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