Numberwise

1674

1674 is the year Leeuwenhoek first described microorganisms.

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Where 1674 fits

Where 1674 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1590.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers15901674
1674 connects to 3 worlds: mathematics, history, related numbers.

Why 1674 is special

He called them animalcules and his letters to the Royal Society were met with disbelief until others replicated the observations. He ground his own lenses and never disclosed the method.

1674 is part of

Factors & digit properties

Divisors (16)
1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
Prime factorisation
2 × 3^3 × 31
Digit sum
18
Digital root
9

Representations

Decimal
1674
Scientific notation
1.674 × 10^3

Roman numerals

M D C L X X I V

MDCLXXIV uses the subtractive pair IV: one before five — five minus one.

Binary

1 1 0 1 0 0 0 1 0 1 0

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,674

Octal

3 2 1 2

3 × 512 + 2 × 64 + 1 × 8 + 2 × 1 = 1,674

Hexadecimal

6 8 a

6 × 256 + 8 × 16 + a × 1 = 1,674

Read as powers of two: 1,024 + 512 + 128 + 8 + 2 = 1,674.

In historical numeral systems

Egyptian

1 lotus, 6 coils of rope, 7 hobbles, 4 strokes

1 × 1,000 + 6 × 100 + 7 × 10 + 4 × 1 = 1,674. 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 + 4 vertical wedges (units place)

27 × 60 + 54 = 1674. 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
1674 is a year in the 17th century, in the 1670s.

1674 is a year in the 17th century, in the 1670s.

Connection
Compound microscopes existed from around 1590 and produced little for decades. Leeuwenhoek's single-lens instruments from 1674 revealed microorganisms and outperformed compound designs for a century.

Compound microscopes existed from around 1590 and produced little for decades. Leeuwenhoek's single-lens instruments from 1674 revealed microorganisms and outperformed compound designs for a century.

View 1590

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1590
    why?

    Strength 0.50, confidence "high".

How is 1674 connected to another number? →

Science

  • In 1674, Antonie van Leeuwenhoek first observed single-celled organisms, a world nobody had known was there (Low Countries).

    DocumentedScienceGeography: Low CountriesPeriod: 1674
  • Leeuwenhoek's single-lens microscopes outperformed compound instruments for a century and he never revealed how he made them. His observations were doubted until independently confirmed.

    DocumentedScienceGeography: NetherlandsPeriod: 1674

Common questions

Is 1674 a prime number?

No, 1674 is not prime.

What are the factors of 1674?

The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674.

What is 1674 in Roman numerals?

1674 in Roman numerals is MDCLXXIV. IV is subtractive: one before five — five minus one. Written additively it would be MDCLXXIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.

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