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1638

1638 is the year Galileo published his work on motion and materials.

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Where 1638 fits

Where 1638 fits: Mathematics, Related numbersMathematics: Harshad (Niven) number. Related numbers: 1633.MathematicsHarshad (Niven) numberRelated numbers16331638
1638 connects to 2 worlds: mathematics, related numbers.

Why 1638 is special

Written under house arrest and smuggled out for printing in the Netherlands, it contains the physics that outlasted the astronomy he was convicted over.

Factors & digit properties

Divisors (24)
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
Prime factorisation
2 × 3^2 × 7 × 13
Digit sum
18
Digital root
9

Representations

Decimal
1638
Binary
11001100110
Octal
3146
Hexadecimal
666
Roman numeral
MDCXXXVIII
Scientific notation
1.638 × 10^3

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Connection
Galileo was tried in 1633 and wrote Two New Sciences under house arrest, published abroad in 1638. The physics outlasted the astronomy he was convicted over.

Galileo was tried in 1633 and wrote Two New Sciences under house arrest, published abroad in 1638. The physics outlasted the astronomy he was convicted over.

View 1633

Other connections

  • developed from1633
    why?

    Strength 0.50, confidence "high".

How is 1638 connected to another number? →

Science

  • Galileo's Two New Sciences was composed while confined and printed abroad because publication in Italy was barred. It is the work that founded the study of motion, and it exists because the ban was evaded.

    DocumentedScienceGeography: Italy and NetherlandsPeriod: 1638

Common questions

Is 1638 a prime number?

No, 1638 is not prime.

What are the factors of 1638?

The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638.

What is 1638 in Roman numerals?

1638 in Roman numerals is MDCXXXVIII.

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