Numberwise

1586

1586 is the year the potato is generally said to have reached England.

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

Where 1586 fits

Where 1586 fits: History, Related numbersHistory: Historical years. Related numbers: 1845.HistoryHistorical yearsRelated numbers18451586
1586 connects to 2 worlds: history, related numbers.

Why 1586 is special

Attribution to Raleigh or Drake is unreliable. The crop was treated with suspicion for two centuries before becoming a staple, and its later dominance in Ireland is what made the 1845 blight catastrophic.

1586 is part of

Factors & digit properties

Divisors (8)
1, 2, 13, 26, 61, 122, 793, 1586
Prime factorisation
2 × 13 × 61
Digit sum
20
Digital root
2

Representations

Decimal
1586
Scientific notation
1.586 × 10^3

Roman numerals

M D L X X X V I

Binary

1 1 0 0 0 1 1 0 0 1 0

1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,586

Octal

3 0 6 2

3 × 512 + 0 × 64 + 6 × 8 + 2 × 1 = 1,586

Hexadecimal

6 3 2

6 × 256 + 3 × 16 + 2 × 1 = 1,586

Read as powers of two: 1,024 + 512 + 32 + 16 + 2 = 1,586.

In historical numeral systems

Egyptian

1 lotus, 5 coils of rope, 8 hobbles, 6 strokes

1 × 1,000 + 5 × 100 + 8 × 10 + 6 × 1 = 1,586. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 6 vertical wedges (sixties place), 2 corner wedges + 6 vertical wedges (units place)

26 × 60 + 26 = 1586. 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

  • Deficient number

Related numbers & connections

Documented appearance
1586 is a year in the 16th century, in the 1580s.

1586 is a year in the 16th century, in the 1580s.

Connection
The potato reached northern Europe in the late 1500s and Ireland's dependence on it is what made the blight of 1845 lethal rather than merely costly.

The potato reached northern Europe in the late 1500s and Ireland's dependence on it is what made the blight of 1845 lethal rather than merely costly.

View 1845

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1845
    why?

    Strength 0.50, confidence "high".

How is 1586 connected to another number? →

History

  • In 1586, the Babington Plot was uncovered through intercepted correspondence, leading to the trial of Mary, Queen of Scots (England).

    DocumentedHistoryGeography: EnglandPeriod: 1586
  • The potato reached northern Europe in the late 1500s and was resisted for generations before becoming a staple. That reliance is precisely what made the blight of 1845 lethal rather than merely costly.

    DocumentedHistoryGeography: England and IrelandPeriod: around 1586

Common questions

Is 1586 a prime number?

No, 1586 is not prime.

What are the factors of 1586?

The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586.

What is 1586 in Roman numerals?

1586 in Roman numerals is MDLXXXVI.

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