Numberwise

1781

1781 is the year Uranus was discovered.

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Where 1781 fits

Where 1781 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 1687.MathematicsSemiprimeHistoryHistorical yearsRelated numbers16871781
1781 connects to 3 worlds: mathematics, history, related numbers.

Why 1781 is special

It was the first planet found with a telescope rather than known since antiquity, and it doubled the known size of the solar system overnight. Herschel initially reported it as a comet and wanted to name it after King George III.

1781 is part of

Factors & digit properties

Divisors (4)
1, 13, 137, 1781
Prime factorisation
13 × 137
Digit sum
17
Digital root
8

Representations

Decimal
1781
Scientific notation
1.781 × 10^3

Roman numerals

M D C C L X X X I

Binary

1 1 0 1 1 1 1 0 1 0 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 1,781

Octal

3 3 6 5

3 × 512 + 3 × 64 + 6 × 8 + 5 × 1 = 1,781

Hexadecimal

6 f 5

6 × 256 + f × 16 + 5 × 1 = 1,781

Read as powers of two: 1,024 + 512 + 128 + 64 + 32 + 16 + 4 + 1 = 1,781.

In historical numeral systems

Egyptian

1 lotus, 7 coils of rope, 8 hobbles, 1 stroke

1 × 1,000 + 7 × 100 + 8 × 10 + 1 × 1 = 1,781. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

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

29 × 60 + 41 = 1781. 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
1781 is a year in the 18th century, in the 1780s.

1781 is a year in the 18th century, in the 1780s.

Connection
Newtonian gravitation is what let astronomers infer an unseen planet from orbital irregularities — the method that found Uranus's successor and confirmed the theory that predicted it.

Newtonian gravitation is what let astronomers infer an unseen planet from orbital irregularities — the method that found Uranus's successor and confirmed the theory that predicted it.

View 1687

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1687
    why?

    Strength 0.50, confidence "high".

How is 1781 connected to another number? →

Science

  • In 1781, William Herschel discovered Uranus, the first planet found with a telescope (England).

    DocumentedScienceGeography: EnglandPeriod: 1781
  • Uranus was the first planet found with a telescope rather than known since antiquity, and its discovery doubled the known extent of the solar system. Herschel first reported it as a comet and proposed naming it after George III.

    DocumentedSciencePeriod: 1781

Common questions

Is 1781 a prime number?

No, 1781 is not prime.

What are the factors of 1781?

The factors of 1781 are 1, 13, 137, 1781.

What is 1781 in Roman numerals?

1781 in Roman numerals is MDCCLXXXI.

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