4006

4,006 is an even composite number composed of two prime numbers multiplied together.

What does the number 4006 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

4006 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

Prime factorization of 4006:

2 × 2003

See below for interesting mathematical facts about the number 4006 from the Numbermatics database.


Names of 4006

  • Cardinal: 4006 can be written as Four thousand and six.

Scientific notation

  • Scientific notation: 4.006 × 103

Factors of 4006

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 2005

Divisors of 4006

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 6012
  • Sum of proper divisors (its aliquot sum) s(n): 2006
  • 4006 is a deficient number, because the sum of its proper divisors (2006) is less than itself. Its deficiency is 2000

Bases of 4006

  • Binary: 1111101001102
  • Hexadecimal: 0xFA6
  • Base-36: 33A

Squares and roots of 4006

  • 4006 squared (40062) is 16048036
  • 4006 cubed (40063) is 64288432216
  • The square root of 4006 is 63.2929695937
  • The cube root of 4006 is 15.8819435597

Scales and comparisons

How big is 4006?
  • 4,006 seconds is equal to 1 hour, 6 minutes, 46 seconds.
  • To count from 1 to 4,006 would take you about six minutes.

    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 4006 cubic inches would be around 1.3 feet tall.

Recreational maths with 4006

  • 4006 backwards is 6004
  • The number of decimal digits it has is: 4
  • The sum of 4006's digits is 10
  • More coming soon!

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"Number 4006 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

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Numbermatics. (2024). Number 4006 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/4006/

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Numbermatics. 2024. "Number 4006 - Facts about the integer". https://numbermatics.com/n/4006/

The information we have on file for 4006 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 4006, math, Factors of 4006, curriculum, school, college, exams, university, Prime factorization of 4006, STEM, science, technology, engineering, physics, economics, calculator, four thousand and six.

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