653

653 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 653 look like?

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

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

Prime factorization of 653:

653

See below for interesting mathematical facts about the number 653 from the Numbermatics database.


Names of 653

  • Cardinal: 653 can be written as Six hundred fifty-three.

Scientific notation

  • Scientific notation: 6.53 × 102

Factors of 653

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 653

Divisors of 653

  • Number of divisors d(n): 2
  • Complete list of divisors:
    1 653
  • Sum of all divisors σ(n): 654
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 653 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 652

Bases of 653

  • Binary: 10100011012
  • Hexadecimal: 0x28D
  • Base-36: I5

Squares and roots of 653

  • 653 squared (6532) is 426409
  • 653 cubed (6533) is 278445077
  • The square root of 653 is 25.5538646783
  • The cube root of 653 is 8.6756973587

Scales and comparisons

How big is 653?
  • 653 seconds is equal to 10 minutes, 53 seconds.
  • To count from 1 to 653 would take you about five 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 653 cubic inches would be around 0.7 feet tall.

Recreational maths with 653

  • 653 backwards is 356
  • The number of decimal digits it has is: 3
  • The sum of 653's digits is 14
  • More coming soon!

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The information we have on file for 653 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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