3,167 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 3167 look like?

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

3167 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 3167:


See below for interesting mathematical facts about the number 3167 from the Numbermatics database.

Names of 3167

  • Cardinal: 3167 can be written as Three thousand, one hundred sixty-seven.

Scientific notation

  • Scientific notation: 3.167 × 103

Factors of 3167

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 3167

Divisors of 3167

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3168
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 3167 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3166

Bases of 3167

  • Binary: 1100010111112
  • Hexadecimal: 0xC5F
  • Base-36: 2FZ

Squares and roots of 3167

  • 3167 squared (31672) is 10029889
  • 3167 cubed (31673) is 31764658463
  • The square root of 3167 is 56.2761050533
  • The cube root of 3167 is 14.6852954289

Scales and comparisons

How big is 3167?
  • 3,167 seconds is equal to 52 minutes, 47 seconds.
  • To count from 1 to 3,167 would take you about fifty-two 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 3167 cubic inches would be around 1.2 feet tall.

Recreational maths with 3167

  • 3167 backwards is 7613
  • 3167 is a twin prime! Its twin is 3169
  • The number of decimal digits it has is: 4
  • The sum of 3167's digits is 17
  • More coming soon!

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The information we have on file for 3167 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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