Numberwise

1698

1698 is the year Savery patented an early steam pump.

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Where 1698 fits

Where 1698 fits: History, Related numbersHistory: Historical years. Related numbers: 1663, 1712.HistoryHistorical yearsRelated numbers166317121698
1698 connects to 2 worlds: history, related numbers.

Why 1698 is special

It had no piston and raised water by condensing steam to create a vacuum. It worked, barely, and established that steam could do mechanical work commercially.

1698 is part of

Numbers around us

Factors & digit properties

Divisors (8)
1, 2, 3, 6, 283, 566, 849, 1698
Prime factorisation
2 × 3 × 283
Digit sum
24
Digital root
6

Representations

Decimal
1698
Scientific notation
1.698 × 10^3

Roman numerals

M D C X C V I I I

MDCXCVIII uses the subtractive pair XC: ten before a hundred — a hundred minus ten.

Binary

1 1 0 1 0 1 0 0 0 1 0

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,698

Octal

3 2 4 2

3 × 512 + 2 × 64 + 4 × 8 + 2 × 1 = 1,698

Hexadecimal

6 a 2

6 × 256 + a × 16 + 2 × 1 = 1,698

Read as powers of two: 1,024 + 512 + 128 + 32 + 2 = 1,698.

In historical numeral systems

Egyptian

1 lotus, 6 coils of rope, 9 hobbles, 8 strokes

1 × 1,000 + 6 × 100 + 9 × 10 + 8 × 1 = 1,698. 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), 1 corner wedge + 8 vertical wedges (units place)

28 × 60 + 18 = 1698. 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

Related numbers & connections

Documented appearance
1698 is a year in the 17th century, in the 1690s.

1698 is a year in the 17th century, in the 1690s.

Connection
A steam engine was patented in 1663 and Savery's working pump followed in 1698. Between description and machine lay thirty-five years of engineering rather than insight.

A steam engine was patented in 1663 and Savery's working pump followed in 1698. Between description and machine lay thirty-five years of engineering rather than insight.

View 1663 →

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1663
    why?

    Strength 0.50, confidence "high".

  • developed from1712
    why?

    Strength 0.50, confidence "high".

How is 1698 connected to another number? →

Technology & computing

  • In 1698, Thomas Savery patented an early steam pump for draining mines (England).

    DocumentedTechnology & computingGeography: EnglandPeriod: 1698

  • Savery's 1698 engine used condensation to draw water up and had no moving piston. Its practical depth was limited and it proved the commercial principle that Newcomen and Watt then made useful.

    DocumentedTechnology & computingGeography: EnglandPeriod: 1698

Common questions

Is 1698 a prime number?

No, 1698 is not prime.

What are the factors of 1698?

The factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698.

What is 1698 in Roman numerals?

1698 in Roman numerals is MDCXCVIII. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MDCLXXXXVIII, 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