Numberwise

1302

1302 is the year of the Battle of the Golden Spurs.

2 confirmed records · 1 sourceChecked and sourcedHow we qualify claimsReport a correction

Where 1302 fits

Where 1302 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1346.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers13461302
1302 connects to 3 worlds: mathematics, history, related numbers.

Why 1302 is special

A Flemish militia of townsmen defeated French knights, and the spurs taken from the dead gave the battle its name. Infantry defeating mounted nobility was the shock.

1302 is part of

Factors & digit properties

Divisors (16)
1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
Prime factorisation
2 × 3 × 7 × 31
Digit sum
6
Digital root
6

Representations

Decimal
1302
Scientific notation
1.302 × 10^3

Roman numerals

M C C C I I

Binary

1 0 1 0 0 0 1 0 1 1 0

1 × 1,024 + 0 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,302

Octal

2 4 2 6

2 × 512 + 4 × 64 + 2 × 8 + 6 × 1 = 1,302

Hexadecimal

5 1 6

5 × 256 + 1 × 16 + 6 × 1 = 1,302

Read as powers of two: 1,024 + 256 + 16 + 4 + 2 = 1,302.

In historical numeral systems

Egyptian

1 lotus, 3 coils of rope, 2 strokes

1 × 1,000 + 3 × 100 + 2 × 1 = 1,302. 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 + 2 vertical wedges (units place)

21 × 60 + 42 = 1302. 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

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1302 is a year in the 14th century, in the 1300s.

1302 is a year in the 14th century, in the 1300s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

  • appears alongside1346
    why?

    Strength 0.50, confidence "high".

How is 1302 connected to another number? →

History

  • In 1302, Flemish militia destroyed a French knightly army at Courtrai, the Battle of the Golden Spurs (Flanders).

    DocumentedHistoryGeography: FlandersPeriod: 1302
  • Flemish urban militia defeated a French knightly army in 1302 on ground that neutralised cavalry. It is among the earliest clear demonstrations that disciplined infantry could beat mounted nobility.

    DocumentedHistoryGeography: FlandersPeriod: 1302

Common questions

Is 1302 a prime number?

No, 1302 is not prime.

What are the factors of 1302?

The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302.

What is 1302 in Roman numerals?

1302 in Roman numerals is MCCCII.

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