2,005 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2005 look like?

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

2005 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

Prime factorization of 2005:

5 × 401

See below for interesting mathematical facts about the number 2005 from the Numbermatics database.

Names of 2005

  • Cardinal: 2005 can be written as Two thousand and five.

Scientific notation

  • Scientific notation: 2.005 × 103

Factors of 2005

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 406

Divisors of 2005

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2412
  • Sum of proper divisors (its aliquot sum) s(n): 407
  • 2005 is a deficient number, because the sum of its proper divisors (407) is less than itself. Its deficiency is 1598

Bases of 2005

  • Binary: 111110101012
  • Hexadecimal: 0x7D5
  • Base-36: 1JP

Squares and roots of 2005

  • 2005 squared (20052) is 4020025
  • 2005 cubed (20053) is 8060150125
  • The square root of 2005 is 44.7772263545
  • The cube root of 2005 is 12.6097011037

Scales and comparisons

How big is 2005?
  • 2,005 seconds is equal to 33 minutes, 25 seconds.
  • To count from 1 to 2,005 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 2005 cubic inches would be around 1.1 feet tall.

Recreational maths with 2005

  • 2005 backwards is 5002
  • The number of decimal digits it has is: 4
  • The sum of 2005's digits is 7
  • More coming soon!

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"Number 2005 - Facts about the integer". Numbermatics.com. 2024. Web. 27 February 2024.

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Numbermatics. (2024). Number 2005 - Facts about the integer. Retrieved 27 February 2024, from https://numbermatics.com/n/2005/

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Numbermatics. 2024. "Number 2005 - Facts about the integer". https://numbermatics.com/n/2005/

The information we have on file for 2005 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 2005, math, Factors of 2005, curriculum, school, college, exams, university, Prime factorization of 2005, STEM, science, technology, engineering, physics, economics, calculator, two thousand and five.

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