4008

4,008 is an even composite number composed of three prime numbers multiplied together.

What does the number 4008 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

4008 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 4008:

23 × 3 × 167

(2 × 2 × 2 × 3 × 167)

See below for interesting mathematical facts about the number 4008 from the Numbermatics database.


Names of 4008

  • Cardinal: 4008 can be written as Four thousand and eight.

Scientific notation

  • Scientific notation: 4.008 × 103

Factors of 4008

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 172

Divisors of 4008

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 10080
  • Sum of proper divisors (its aliquot sum) s(n): 6072
  • 4008 is an abundant number, because the sum of its proper divisors (6072) is greater than itself. Its abundance is 2064

Bases of 4008

  • Binary: 1111101010002
  • Hexadecimal: 0xFA8
  • Base-36: 33C

Squares and roots of 4008

  • 4008 squared (40082) is 16064064
  • 4008 cubed (40083) is 64384768512
  • The square root of 4008 is 63.3087671653
  • The cube root of 4008 is 15.8845861459

Scales and comparisons

How big is 4008?
  • 4,008 seconds is equal to 1 hour, 6 minutes, 48 seconds.
  • To count from 1 to 4,008 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 4008 cubic inches would be around 1.3 feet tall.

Recreational maths with 4008

  • 4008 backwards is 8004
  • 4008 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 4008's digits is 12
  • More coming soon!

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The information we have on file for 4008 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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