3253

3,253 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 3253 look like?

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

3253 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 3253:

3253

See below for interesting mathematical facts about the number 3253 from the Numbermatics database.


Names of 3253

  • Cardinal: 3253 can be written as Three thousand, two hundred fifty-three.

Scientific notation

  • Scientific notation: 3.253 × 103

Factors of 3253

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 3253

Divisors of 3253

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3254
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 3253 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3252

Bases of 3253

  • Binary: 1100101101012
  • Hexadecimal: 0xCB5
  • Base-36: 2ID

Squares and roots of 3253

  • 3253 squared (32532) is 10582009
  • 3253 cubed (32533) is 34423275277
  • The square root of 3253 is 57.0350769263
  • The cube root of 3253 is 14.8170366267

Scales and comparisons

How big is 3253?
  • 3,253 seconds is equal to 54 minutes, 13 seconds.
  • To count from 1 to 3,253 would take you about fifty-four 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 3253 cubic inches would be around 1.2 feet tall.

Recreational maths with 3253

  • 3253 backwards is 3523
  • The number of decimal digits it has is: 4
  • The sum of 3253's digits is 13
  • More coming soon!

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The information we have on file for 3253 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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