Numberwise

1671

1671 is the year Leibniz designed a calculator that could multiply.

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Where 1671 fits

Where 1671 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 1617.MathematicsSemiprimeHistoryHistorical yearsRelated numbers16171671
1671 connects to 3 worlds: mathematics, history, related numbers.

Why 1671 is special

Pascal's earlier machine could only add and subtract. The stepped drum Leibniz devised was used in mechanical calculators for the next three centuries.

1671 is part of

Numbers around us

Factors & digit properties

Divisors (4)
1, 3, 557, 1671
Prime factorisation
3 × 557
Digit sum
15
Digital root
6

Representations

Decimal
1671
Scientific notation
1.671 × 10^3

Roman numerals

M D C L X X I

Binary

1 1 0 1 0 0 0 0 1 1 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 1,671

Octal

3 2 0 7

3 × 512 + 2 × 64 + 0 × 8 + 7 × 1 = 1,671

Hexadecimal

6 8 7

6 × 256 + 8 × 16 + 7 × 1 = 1,671

Read as powers of two: 1,024 + 512 + 128 + 4 + 2 + 1 = 1,671.

In historical numeral systems

Egyptian

1 lotus, 6 coils of rope, 7 hobbles, 1 stroke

1 × 1,000 + 6 × 100 + 7 × 10 + 1 × 1 = 1,671. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 7 vertical wedges (sixties place), 5 corner wedges + 1 vertical wedge (units place)

27 × 60 + 51 = 1671. 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
1671 is a year in the 17th century, in the 1670s.

1671 is a year in the 17th century, in the 1670s.

Connection
Napier's rods mechanised multiplication by hand in 1617; Leibniz's stepped drum of 1671 mechanised it in a machine, and that mechanism was still in calculators three centuries later.

Napier's rods mechanised multiplication by hand in 1617; Leibniz's stepped drum of 1671 mechanised it in a machine, and that mechanism was still in calculators three centuries later.

View 1617 →

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1617
    why?

    Strength 0.50, confidence "high".

How is 1671 connected to another number? →

Technology & computing

  • In 1671, Leibniz described the stepped reckoner, a calculating machine that could multiply directly (Holy Roman Empire).

    DocumentedTechnology & computingGeography: Holy Roman EmpirePeriod: 1671

  • Leibniz's stepped drum of 1671 enabled mechanical multiplication and remained in use in calculating machines into the twentieth century. Few mechanisms have that longevity.

    DocumentedTechnology & computingGeography: GermanyPeriod: 1671

Common questions

Is 1671 a prime number?

No, 1671 is not prime.

What are the factors of 1671?

The factors of 1671 are 1, 3, 557, 1671.

What is 1671 in Roman numerals?

1671 in Roman numerals is MDCLXXI.

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