198 is an even composite number composed of three prime numbers multiplied together.

What does the number 198 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

198 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 198:

2 × 32 × 11

(2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 198 from the Numbermatics database.

Names of 198

  • Cardinal: 198 can be written as One hundred ninety-eight.

Scientific notation

  • Scientific notation: 1.98 × 102

Factors of 198

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 16

Divisors of 198

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 468
  • Sum of proper divisors (its aliquot sum) s(n): 270
  • 198 is an abundant number, because the sum of its proper divisors (270) is greater than itself. Its abundance is 72

Bases of 198

  • Binary: 110001102
  • Hexadecimal: 0xC6
  • Base-36: 5I

Squares and roots of 198

  • 198 squared (1982) is 39204
  • 198 cubed (1983) is 7762392
  • The square root of 198 is 14.0712472793
  • The cube root of 198 is 5.8284766833

Scales and comparisons

How big is 198?
  • 198 seconds is equal to 3 minutes, 18 seconds.
  • To count from 1 to 198 would take you about thirty-nine seconds.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 198 cubic inches would be around 0.5 feet tall.

Recreational maths with 198

  • 198 backwards is 891
  • 198 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 198's digits is 18
  • More coming soon!

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"Number 198 - Facts about the integer". Numbermatics.com. 2024. Web. 18 April 2024.

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Numbermatics. (2024). Number 198 - Facts about the integer. Retrieved 18 April 2024, from https://numbermatics.com/n/198/

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The information we have on file for 198 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 198, math, Factors of 198, curriculum, school, college, exams, university, Prime factorization of 198, STEM, science, technology, engineering, physics, economics, calculator, one hundred ninety-eight.

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