8001

8,001 is an odd composite number composed of three prime numbers multiplied together.

What does the number 8001 look like?

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

8001 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 8001:

32 × 7 × 127

(3 × 3 × 7 × 127)

See below for interesting mathematical facts about the number 8001 from the Numbermatics database.


Names of 8001

  • Cardinal: 8001 can be written as Eight thousand and one.

Scientific notation

  • Scientific notation: 8.001 × 103

Factors of 8001

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 137

Divisors of 8001

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 13312
  • Sum of proper divisors (its aliquot sum) s(n): 5311
  • 8001 is a deficient number, because the sum of its proper divisors (5311) is less than itself. Its deficiency is 2690

Bases of 8001

  • Binary: 11111010000012
  • Hexadecimal: 0x1F41
  • Base-36: 669

Squares and roots of 8001

  • 8001 squared (80012) is 64016001
  • 8001 cubed (80013) is 512192024001
  • The square root of 8001 is 89.4483090953
  • The cube root of 8001 is 20.0008332987

Scales and comparisons

How big is 8001?
  • 8,001 seconds is equal to 2 hours, 13 minutes, 21 seconds.
  • To count from 1 to 8,001 would take you about two 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 8001 cubic inches would be around 1.7 feet tall.

Recreational maths with 8001

  • 8001 backwards is 1008
  • 8001 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 8001's digits is 9
  • More coming soon!

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"Number 8001 - Facts about the integer". Numbermatics.com. 2023. Web. 4 February 2023.

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Numbermatics. (2023). Number 8001 - Facts about the integer. Retrieved 4 February 2023, from https://numbermatics.com/n/8001/

Chicago style:
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The information we have on file for 8001 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 8001, math, Factors of 8001, curriculum, school, college, exams, university, Prime factorization of 8001, STEM, science, technology, engineering, physics, economics, calculator, eight thousand and one.

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