4,007 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 4007 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

4007 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 4007:


See below for interesting mathematical facts about the number 4007 from the Numbermatics database.

Names of 4007

  • Cardinal: 4007 can be written as Four thousand and seven.

Scientific notation

  • Scientific notation: 4.007 × 103

Factors of 4007

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 4007

Divisors of 4007

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4008
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 4007 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4006

Bases of 4007

  • Binary: 1111101001112
  • Hexadecimal: 0xFA7
  • Base-36: 33B

Squares and roots of 4007

  • 4007 squared (40072) is 16056049
  • 4007 cubed (40073) is 64336588343
  • The square root of 4007 is 63.3008688723
  • The cube root of 4007 is 15.8832649629

Scales and comparisons

How big is 4007?
  • 4,007 seconds is equal to 1 hour, 6 minutes, 47 seconds.
  • To count from 1 to 4,007 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 4007 cubic inches would be around 1.3 feet tall.

Recreational maths with 4007

  • 4007 backwards is 7004
  • The number of decimal digits it has is: 4
  • The sum of 4007's digits is 11
  • More coming soon!

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The information we have on file for 4007 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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