Numberwise

1712

1712 is the year the first commercially successful steam engine was installed.

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Where 1712 fits

Where 1712 fits: History, Related numbersHistory: Historical years. Related numbers: 1769, 1709, 1698.HistoryHistorical yearsRelated numbers1769170916981712
1712 connects to 2 worlds: history, related numbers.

Why 1712 is special

Newcomen's engine pumped water out of mines, burning enormous quantities of coal to do it — practical only at a colliery where fuel cost nothing to transport. Watt's improvements sixty years later removed that restriction.

1712 is part of

Numbers around us

Factors & digit properties

Divisors (10)
1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
Prime factorisation
2^4 × 107
Digit sum
11
Digital root
2

Representations

Decimal
1712
Scientific notation
1.712 × 10^3

Roman numerals

M D C C X I I

Binary

1 1 0 1 0 1 1 0 0 0 0

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,712

Octal

3 2 6 0

3 × 512 + 2 × 64 + 6 × 8 + 0 × 1 = 1,712

Hexadecimal

6 b 0

6 × 256 + b × 16 + 0 × 1 = 1,712

Read as powers of two: 1,024 + 512 + 128 + 32 + 16 = 1,712.

In historical numeral systems

Egyptian

1 lotus, 7 coils of rope, 1 hobble, 2 strokes

1 × 1,000 + 7 × 100 + 1 × 10 + 2 × 1 = 1,712. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 8 vertical wedges (sixties place), 3 corner wedges + 2 vertical wedges (units place)

28 × 60 + 32 = 1712. 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
1712 is a year in the 18th century, in the 1710s.

1712 is a year in the 18th century, in the 1710s.

Connection
Newcomen's engine of 1712 worked only where coal was free; Watt's separate condenser in 1769 made steam power economic anywhere. Sixty years separate the demonstration from the general technology.

Newcomen's engine of 1712 worked only where coal was free; Watt's separate condenser in 1769 made steam power economic anywhere. Sixty years separate the demonstration from the general technology.

View 1769 →

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1769
    why?

    Strength 0.50, confidence "high".

  • developed from1709
    why?

    Strength 0.50, confidence "high".

  • developed from1698
    why?

    Strength 0.50, confidence "high".

How is 1712 connected to another number? →

Technology & computing

  • In 1712, Thomas Newcomen built the first commercially successful steam engine (England).

    DocumentedTechnology & computingGeography: EnglandPeriod: 1712

  • The Newcomen engine of 1712 worked and was extraordinarily inefficient, which limited it to coal mines where fuel was already underfoot. Steam power spread beyond the pithead only after Watt made it cheap enough to run anywhere.

    DocumentedTechnology & computingGeography: EnglandPeriod: 1712

Common questions

Is 1712 a prime number?

No, 1712 is not prime.

What are the factors of 1712?

The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712.

What is 1712 in Roman numerals?

1712 in Roman numerals is MDCCXII.

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