33,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 33004 look like?

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

33004 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 33004:

22 × 37 × 223

(2 × 2 × 37 × 223)

See below for interesting mathematical facts about the number 33004 from the Numbermatics database.

Names of 33004

  • Cardinal: 33004 can be written as Thirty-three thousand and four.

Scientific notation

  • Scientific notation: 3.3004 × 104

Factors of 33004

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 262

Divisors of 33004

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 59584
  • Sum of proper divisors (its aliquot sum) s(n): 26580
  • 33004 is a deficient number, because the sum of its proper divisors (26580) is less than itself. Its deficiency is 6424

Bases of 33004

  • Binary: 10000000111011002
  • Hexadecimal: 0x80EC
  • Base-36: PGS

Squares and roots of 33004

  • 33004 squared (330042) is 1089264016
  • 33004 cubed (330043) is 35950069584064
  • The square root of 33004 is 181.6700305499
  • The cube root of 33004 is 32.0766392211

Scales and comparisons

How big is 33004?
  • 33,004 seconds is equal to 9 hours, 10 minutes, 4 seconds.
  • To count from 1 to 33,004 would take you about nine hours.

    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 33004 cubic inches would be around 2.7 feet tall.

Recreational maths with 33004

  • 33004 backwards is 40033
  • The number of decimal digits it has is: 5
  • The sum of 33004's digits is 10
  • More coming soon!

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"Number 33004 - Facts about the integer". Numbermatics.com. 2021. Web. 9 December 2021.

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Numbermatics. (2021). Number 33004 - Facts about the integer. Retrieved 9 December 2021, from https://numbermatics.com/n/33004/

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The information we have on file for 33004 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 33004, math, Factors of 33004, curriculum, school, college, exams, university, Prime factorization of 33004, STEM, science, technology, engineering, physics, economics, calculator, thirty-three thousand and four.

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