2,006 is an even composite number composed of three prime numbers multiplied together.

What does the number 2006 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

2006 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 2006:

2 × 17 × 59

See below for interesting mathematical facts about the number 2006 from the Numbermatics database.

Names of 2006

  • Cardinal: 2006 can be written as Two thousand and six.

Scientific notation

  • Scientific notation: 2.006 × 103

Factors of 2006

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 78

Divisors of 2006

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3240
  • Sum of proper divisors (its aliquot sum) s(n): 1234
  • 2006 is a deficient number, because the sum of its proper divisors (1234) is less than itself. Its deficiency is 772

Bases of 2006

  • Binary: 111110101102
  • Hexadecimal: 0x7D6
  • Base-36: 1JQ

Squares and roots of 2006

  • 2006 squared (20062) is 4024036
  • 2006 cubed (20063) is 8072216216
  • The square root of 2006 is 44.7883913531
  • The cube root of 2006 is 12.6117971311

Scales and comparisons

How big is 2006?
  • 2,006 seconds is equal to 33 minutes, 26 seconds.
  • To count from 1 to 2,006 would take you about thirty-three 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 2006 cubic inches would be around 1.1 feet tall.

Recreational maths with 2006

  • 2006 backwards is 6002
  • The number of decimal digits it has is: 4
  • The sum of 2006's digits is 8
  • More coming soon!

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"Number 2006 - Facts about the integer". Numbermatics.com. 2024. Web. 1 March 2024.

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Numbermatics. (2024). Number 2006 - Facts about the integer. Retrieved 1 March 2024, from https://numbermatics.com/n/2006/

Chicago style:
Numbermatics. 2024. "Number 2006 - Facts about the integer". https://numbermatics.com/n/2006/

The information we have on file for 2006 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 2006, math, Factors of 2006, curriculum, school, college, exams, university, Prime factorization of 2006, STEM, science, technology, engineering, physics, economics, calculator, two thousand and six.

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