3,003 is an odd composite number composed of four prime numbers multiplied together.

What does the number 3003 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

3003 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 3003:

3 × 7 × 11 × 13

See below for interesting mathematical facts about the number 3003 from the Numbermatics database.

Names of 3003

  • Cardinal: 3003 can be written as Three thousand and three.

Scientific notation

  • Scientific notation: 3.003 × 103

Factors of 3003

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 34

Divisors of 3003

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 5376
  • Sum of proper divisors (its aliquot sum) s(n): 2373
  • 3003 is a deficient number, because the sum of its proper divisors (2373) is less than itself. Its deficiency is 630

Bases of 3003

  • Binary: 1011101110112
  • Hexadecimal: 0xBBB
  • Base-36: 2BF

Squares and roots of 3003

  • 3003 squared (30032) is 9018009
  • 3003 cubed (30033) is 27081081027
  • The square root of 3003 is 54.7996350353
  • The cube root of 3003 is 14.4273016001

Scales and comparisons

How big is 3003?
  • 3,003 seconds is equal to 50 minutes, 3 seconds.
  • To count from 1 to 3,003 would take you about fifty 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 3003 cubic inches would be around 1.2 feet tall.

Recreational maths with 3003

  • 3003 is the same when its digits are reversed! That makes it a palindromic number.
  • The number of decimal digits it has is: 4
  • The sum of 3003's digits is 6
  • More coming soon!

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The information we have on file for 3003 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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