1002

1,002 is an even composite number composed of three prime numbers multiplied together.

What does the number 1002 look like?

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

1002 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 1002:

2 × 3 × 167

See below for interesting mathematical facts about the number 1002 from the Numbermatics database.


Names of 1002

  • Cardinal: 1002 can be written as One thousand and two.

Scientific notation

  • Scientific notation: 1.002 × 103

Factors of 1002

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 172

Divisors of 1002

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2016
  • Sum of proper divisors (its aliquot sum) s(n): 1014
  • 1002 is an abundant number, because the sum of its proper divisors (1014) is greater than itself. Its abundance is 12

Bases of 1002

  • Binary: 11111010102
  • Hexadecimal: 0x3EA
  • Base-36: RU

Squares and roots of 1002

  • 1002 squared (10022) is 1004004
  • 1002 cubed (10023) is 1006012008
  • The square root of 1002 is 31.6543835827
  • The cube root of 1002 is 10.0066622271

Scales and comparisons

How big is 1002?
  • 1,002 seconds is equal to 16 minutes, 42 seconds.
  • To count from 1 to 1,002 would take you about sixteen 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 1002 cubic inches would be around 0.8 feet tall.

Recreational maths with 1002

  • 1002 backwards is 2001
  • 1002 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1002's digits is 3
  • More coming soon!

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"Number 1002 - Facts about the integer". Numbermatics.com. 2020. Web. 5 July 2020.

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Numbermatics. (2020). Number 1002 - Facts about the integer. Retrieved 5 July 2020, from https://numbermatics.com/n/1002/

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The information we have on file for 1002 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!

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