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1663

1663 is the year the first known patent for a steam engine was granted.

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Where 1663 fits

Where 1663 fits: Mathematics, Related numbersMathematics: Prime, Happy number, Lucky number (mathematical sieve). Related numbers: 1698.MathematicsPrimeHappy numberLucky number (mathematical …Related numbers16981663
1663 connects to 2 worlds: mathematics, related numbers.

Why 1663 is special

Edward Somerset described a device for raising water by steam. Between his description and Newcomen's working engine lay half a century of engineering rather than of insight.

Factors & digit properties

Divisors (2)
1, 1663
Prime factorisation
1663
Digit sum
16
Digital root
7

Representations

Decimal
1663
Binary
11001111111
Octal
3177
Hexadecimal
67f
Roman numeral
MDCLXIII
Scientific notation
1.663 × 10^3

Other mathematical patterns

Related numbers & connections

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 1698

Other connections

  • developed from1698
    why?

    Strength 0.50, confidence "high".

How is 1663 connected to another number? →

Technology & computing

  • A steam-powered water-raising device was patented in 1663 and the first commercially successful engine ran in 1712. The gap was manufacturing capability rather than the underlying concept.

    DocumentedTechnology & computingGeography: EnglandPeriod: 1663

Common questions

Is 1663 a prime number?

Yes, 1663 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 1663?

The factors of 1663 are 1, 1663.

What is 1663 in Roman numerals?

1663 in Roman numerals is MDCLXIII.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026

1663 — Mathematical Properties and Representations | Numberwise