972 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.
Prime factorization of 972:
22 × 35
(2 × 2 × 3 × 3 × 3 × 3 × 3)
22 × 35(2 × 2 × 3 × 3 × 3 × 3 × 3)
See below for interesting mathematical facts about the number 972 from the Numbermatics database.
Names of 972
- Cardinal: 972 can be written as Nine hundred seventy-two.
- Scientific notation: 9.72 × 102
Factors of 972
- Number of distinct prime factors ω(n): 2
- Total number of prime factors Ω(n): 7
- Sum of prime factors: 5
Divisors of 972
- Number of divisors d(n): 18
- Complete list of divisors:
- Sum of all divisors σ(n): 2548
- Sum of proper divisors (its aliquot sum) s(n): 1576
- 972 is an abundant number, because the sum of its proper divisors (1576) is greater than itself. Its abundance is 604
Bases of 972
- Binary: 11110011002
- Hexadecimal: 0x3CC
- Base-36: R0
Squares and roots of 972
- 972 squared (9722) is 944784
- 972 cubed (9723) is 918330048
square rootof 972 is 31.1769145363
cube rootof 972 is 9.9057817467
Scales and comparisonsHow big is 972?
- 972 seconds is equal to 16 minutes, 12 seconds.
To count from 1 to 972 would take you about eight 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 972 cubic inches would be around 0.8 feet tall.
Recreational maths with 972
- 972 backwards is 279
- 972 is a
- The number of decimal digits it has is: 3
- The sum of 972's digits is 18
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
"Number 972 - Facts about the integer". Numbermatics.com. 2019. Web. 17 November 2019.
Numbermatics. (2019). Number 972 - Facts about the integer. Retrieved 17 November 2019, from https://numbermatics.com/n/972/
Numbermatics. 2019. "Number 972 - Facts about the integer". https://numbermatics.com/n/972/
The information we have on file for 972 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!