Numberwise

1742

1742 is the year Celsius proposed his temperature scale.

2 confirmed records · 2 sourcesChecked and sourcedChecked, general knowledgeHow we qualify claimsReport a correction

Where 1742 fits

Where 1742 fits: Mathematics, HistoryMathematics: Happy number. History: Historical years.MathematicsHappy numberHistoryHistorical years1742
1742 connects to 2 worlds: mathematics, history.

Why 1742 is special

His original scale ran backwards — 0 for boiling and 100 for freezing — and was inverted after his death. The scale in use today is not the one he published.

Same number, different meanings

How 1742 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (8)
1, 2, 13, 26, 67, 134, 871, 1742
Prime factorisation
2 × 13 × 67
Digit sum
14
Digital root
5

Representations

Decimal
1742
Scientific notation
1.742 × 10^3

Roman numerals

M D C C X L I I

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

Binary

1 1 0 1 1 0 0 1 1 1 0

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,742

Octal

3 3 1 6

3 × 512 + 3 × 64 + 1 × 8 + 6 × 1 = 1,742

Hexadecimal

6 c e

6 × 256 + c × 16 + e × 1 = 1,742

Read as powers of two: 1,024 + 512 + 128 + 64 + 8 + 4 + 2 = 1,742.

In historical numeral systems

Egyptian

1 lotus, 7 coils of rope, 4 hobbles, 2 strokes

1 × 1,000 + 7 × 100 + 4 × 10 + 2 × 1 = 1,742. 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), 2 vertical wedges (units place)

29 × 60 + 2 = 1742. 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
1742 is a year in the 18th century, in the 1740s.

1742 is a year in the 18th century, in the 1740s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

How is 1742 connected to another number? →

Technology & computing

  • In 1742, Anders Celsius proposed the centigrade temperature scale, originally with 0 for boiling and 100 for freezing (Sweden).

    DocumentedTechnology & computingGeography: SwedenPeriod: 1742

Science

  • Celsius set 0 at the boiling point of water and 100 at freezing. The inversion to the familiar arrangement happened after his death, so the scale bearing his name is the reverse of what he proposed.

    DocumentedSciencePeriod: 1742

Common questions

Is 1742 a prime number?

No, 1742 is not prime.

What are the factors of 1742?

The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742.

What is 1742 in Roman numerals?

1742 in Roman numerals is MDCCXLII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCXXXXII, 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