3,967 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 3967 look like?

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

3967 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 3967:


See below for interesting mathematical facts about the number 3967 from the Numbermatics database.

Names of 3967

  • Cardinal: 3967 can be written as Three thousand, nine hundred sixty-seven.

Scientific notation

  • Scientific notation: 3.967 × 103

Factors of 3967

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 3967

Divisors of 3967

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3968
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 3967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3966

Bases of 3967

  • Binary: 1111011111112
  • Hexadecimal: 0xF7F
  • Base-36: 327

Squares and roots of 3967

  • 3967 squared (39672) is 15737089
  • 3967 cubed (39673) is 62429032063
  • The square root of 3967 is 62.9841249839
  • The cube root of 3967 is 15.8302363901

Scales and comparisons

How big is 3967?
  • 3,967 seconds is equal to 1 hour, 6 minutes, 7 seconds.
  • To count from 1 to 3,967 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 3967 cubic inches would be around 1.3 feet tall.

Recreational maths with 3967

  • 3967 backwards is 7693
  • The number of decimal digits it has is: 4
  • The sum of 3967's digits is 25
  • More coming soon!

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"Number 3967 - Facts about the integer". Numbermatics.com. 2022. Web. 27 September 2022.

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Numbermatics. (2022). Number 3967 - Facts about the integer. Retrieved 27 September 2022, from https://numbermatics.com/n/3967/

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Numbermatics. 2022. "Number 3967 - Facts about the integer". https://numbermatics.com/n/3967/

The information we have on file for 3967 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!

Keywords: Divisors of 3967, math, Factors of 3967, curriculum, school, college, exams, university, Prime factorization of 3967, STEM, science, technology, engineering, physics, economics, calculator, three thousand, nine hundred sixty-seven.

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