Numberwise

1747

1747 is the year of the first controlled clinical trial.

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Where 1747 fits

Where 1747 fits: Mathematics, History, Related numbersMathematics: Prime. History: Historical years. Related numbers: 1928.MathematicsPrimeHistoryHistorical yearsRelated numbers19281747
1747 connects to 3 worlds: mathematics, history, related numbers.

Why 1747 is special

James Lind divided scurvy patients into groups and gave each a different treatment; those given citrus recovered. The Royal Navy took over forty years to adopt the finding.

Factors & digit properties

Divisors (2)
1, 1747
Prime factorisation
1747
Digit sum
19
Digital root
1

Representations

Decimal
1747
Scientific notation
1.747 × 10^3

Roman numerals

M D C C X L V I I

MDCCXLVII uses the subtractive pair XL: ten before fifty — fifty minus ten.

Binary

1 1 0 1 1 0 1 0 0 1 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 1,747

Octal

3 3 2 3

3 × 512 + 3 × 64 + 2 × 8 + 3 × 1 = 1,747

Hexadecimal

6 d 3

6 × 256 + d × 16 + 3 × 1 = 1,747

Read as powers of two: 1,024 + 512 + 128 + 64 + 16 + 2 + 1 = 1,747.

In historical numeral systems

Egyptian

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

1 × 1,000 + 7 × 100 + 4 × 10 + 7 × 1 = 1,747. 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), 7 vertical wedges (units place)

29 × 60 + 7 = 1747. 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
1747 is a year in the 18th century, in the 1740s.

1747 is a year in the 18th century, in the 1740s.

Connection
Lind ran a controlled trial in 1747 and the navy took forty years to act; Fleming observed penicillin in 1928 and it took a decade and different people to make it a medicine. Evidence and adoption are separate problems.

Lind ran a controlled trial in 1747 and the navy took forty years to act; Fleming observed penicillin in 1928 and it took a decade and different people to make it a medicine. Evidence and adoption are separate problems.

View 1928

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • contrasts with1928
    why?

    Strength 0.50, confidence "high".

How is 1747 connected to another number? →

Science

  • In 1747, James Lind ran a controlled trial showing citrus cured scurvy (Britain).

    DocumentedScienceGeography: BritainPeriod: 1747
  • Lind's 1747 shipboard experiment is the earliest controlled clinical trial on record and identified citrus as effective against scurvy. Adoption took decades, which is an early instance of the gap between evidence and practice.

    DocumentedSciencePeriod: 1747

Common questions

Is 1747 a prime number?

Yes, 1747 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 1747?

The factors of 1747 are 1, 1747.

What is 1747 in Roman numerals?

1747 in Roman numerals is MDCCXLVII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCXXXXVII, 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