Numberwise

1713

1713 is the year of the Treaty of Utrecht.

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

Where 1713 fits

Where 1713 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 1704.MathematicsSemiprimeHistoryHistorical yearsRelated numbers17041713
1713 connects to 3 worlds: mathematics, history, related numbers.

Why 1713 is special

It ended the War of the Spanish Succession and gave Britain the asiento — the contract to supply enslaved people to Spanish America. A peace treaty is where Britain acquired its position in the slave trade.

1713 connects to:

  • historical years appears in
  • 1704 appears alongside

Same number, different meanings

How 1713 is understood across different contexts — never implying one meaning because of another.

1713 is part of

Factors & digit properties

Divisors (4)
1, 3, 571, 1713
Prime factorisation
3 × 571
Digit sum
12
Digital root
3

Representations

Decimal
1713
Scientific notation
1.713 × 10^3

Roman numerals

M D C C X I I I

Binary

1 1 0 1 0 1 1 0 0 0 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,713

Octal

3 2 6 1

3 × 512 + 2 × 64 + 6 × 8 + 1 × 1 = 1,713

Hexadecimal

6 b 1

6 × 256 + b × 16 + 1 × 1 = 1,713

Read as powers of two: 1,024 + 512 + 128 + 32 + 16 + 1 = 1,713.

In historical numeral systems

Egyptian

1 lotus, 7 coils of rope, 1 hobble, 3 strokes

1 × 1,000 + 7 × 100 + 1 × 10 + 3 × 1 = 1,713. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 8 vertical wedges (sixties place), 3 corner wedges + 3 vertical wedges (units place)

28 × 60 + 33 = 1713. 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
1713 is a year in the 18th century, in the 1710s.

1713 is a year in the 18th century, in the 1710s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

  • appears alongside1704
    why?

    Strength 0.50, confidence "high".

How is 1713 connected to another number? →

History

  • In 1713, the Treaty of Utrecht ended the War of the Spanish Succession and transferred Gibraltar to Britain (Europe).

    DocumentedHistoryGeography: EuropePeriod: 1713

Law & regulation

  • Utrecht settled a European succession war and transferred to Britain the monopoly contract for supplying enslaved Africans to Spanish colonies. Britain's role in the trade expanded from a diplomatic settlement rather than a commercial one.

    DocumentedLaw & regulationGeography: EuropePeriod: 1713

Common questions

Is 1713 a prime number?

No, 1713 is not prime.

What are the factors of 1713?

The factors of 1713 are 1, 3, 571, 1713.

What is 1713 in Roman numerals?

1713 in Roman numerals is MDCCXIII.

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