630 is an even composite number composed of four prime numbers multiplied together.

What does the number 630 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

630 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 630:

2 × 32 × 5 × 7

(2 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 630 from the Numbermatics database.

Names of 630

  • Cardinal: 630 can be written as Six hundred thirty.

Scientific notation

  • Scientific notation: 6.3 × 102

Factors of 630

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 17

Divisors of 630

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1872
  • Sum of proper divisors (its aliquot sum) s(n): 1242
  • 630 is an abundant number, because the sum of its proper divisors (1242) is greater than itself. Its abundance is 612

Bases of 630

  • Binary: 10011101102
  • Hexadecimal: 0x276
  • Base-36: HI

Squares and roots of 630

  • 630 squared (6302) is 396900
  • 630 cubed (6303) is 250047000
  • The square root of 630 is 25.0998007961
  • The cube root of 630 is 8.5726188823

Scales and comparisons

How big is 630?
  • 630 seconds is equal to 10 minutes, 30 seconds.
  • To count from 1 to 630 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 630 cubic inches would be around 0.7 feet tall.

Recreational maths with 630

  • 630 backwards is 036
  • 630 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 630's digits is 9
  • More coming soon!

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"Number 630 - Facts about the integer". Numbermatics.com. 2024. Web. 18 April 2024.

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Numbermatics. (2024). Number 630 - Facts about the integer. Retrieved 18 April 2024, from https://numbermatics.com/n/630/

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The information we have on file for 630 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 630, math, Factors of 630, curriculum, school, college, exams, university, Prime factorization of 630, STEM, science, technology, engineering, physics, economics, calculator, six hundred thirty.

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