Numberwise

1309

1309 is the year the papacy moved to Avignon.

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Where 1309 fits

Where 1309 fits: Mathematics, HistoryMathematics: Happy number, Lucky number (mathematical sieve). History: Historical years.MathematicsHappy numberLucky number (mathematical …HistoryHistorical years1309
1309 connects to 2 worlds: mathematics, history.

Why 1309 is special

Seven popes ruled from France over 68 years, under substantial French influence. Petrarch called it the Babylonian Captivity, and the return to Rome triggered the Western Schism.

Same number, different meanings

How 1309 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (8)
1, 7, 11, 17, 77, 119, 187, 1309
Prime factorisation
7 × 11 × 17
Digit sum
13
Digital root
4

Representations

Decimal
1309
Scientific notation
1.309 × 10^3

Roman numerals

M C C C I X

MCCCIX uses the subtractive pair IX: one before ten — ten minus one.

Binary

1 0 1 0 0 0 1 1 1 0 1

1 × 1,024 + 0 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 1,309

Octal

2 4 3 5

2 × 512 + 4 × 64 + 3 × 8 + 5 × 1 = 1,309

Hexadecimal

5 1 d

5 × 256 + 1 × 16 + d × 1 = 1,309

Read as powers of two: 1,024 + 256 + 16 + 8 + 4 + 1 = 1,309.

In historical numeral systems

Egyptian

1 lotus, 3 coils of rope, 9 strokes

1 × 1,000 + 3 × 100 + 9 × 1 = 1,309. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 1 vertical wedge (sixties place), 4 corner wedges + 9 vertical wedges (units place)

21 × 60 + 49 = 1309. 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
1309 is a year in the 14th century, in the 1300s.

1309 is a year in the 14th century, in the 1300s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

How is 1309 connected to another number? →

History

  • In 1309, the papacy moved to Avignon, where it remained for sixty-eight years (France).

    DocumentedHistoryGeography: FrancePeriod: 1309

Religion & belief

  • The papacy sat at Avignon from 1309 to 1377 under heavy French influence. The attempt to return to Rome produced rival claimants and the schism that followed.

    DocumentedReligion & beliefGeography: Avignon, FrancePeriod: 1309–1377

Common questions

Is 1309 a prime number?

No, 1309 is not prime.

What are the factors of 1309?

The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309.

What is 1309 in Roman numerals?

1309 in Roman numerals is MCCCIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MCCCVIIII, 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