7,901 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 7901 look like?

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

7901 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 7901:


See below for interesting mathematical facts about the number 7901 from the Numbermatics database.

Names of 7901

  • Cardinal: 7901 can be written as Seven thousand, nine hundred one.

Scientific notation

  • Scientific notation: 7.901 × 103

Factors of 7901

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 7901

Divisors of 7901

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 7902
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 7901 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 7900

Bases of 7901

  • Binary: 11110110111012
  • Hexadecimal: 0x1EDD
  • Base-36: 63H

Squares and roots of 7901

  • 7901 squared (79012) is 62425801
  • 7901 cubed (79013) is 493226253701
  • The square root of 7901 is 88.8875694345
  • The cube root of 7901 is 19.9171573283

Scales and comparisons

How big is 7901?
  • 7,901 seconds is equal to 2 hours, 11 minutes, 41 seconds.
  • To count from 1 to 7,901 would take you about two hours.

    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 7901 cubic inches would be around 1.7 feet tall.

Recreational maths with 7901

  • 7901 backwards is 1097
  • The number of decimal digits it has is: 4
  • The sum of 7901's digits is 17
  • More coming soon!

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The information we have on file for 7901 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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