# 1972

## 1,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 1972 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1972 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1972:

### 22 × 17 × 29

(2 × 2 × 17 × 29)

See below for interesting mathematical facts about the number 1972 from the Numbermatics database.

### Names of 1972

• Cardinal: 1972 can be written as One thousand, nine hundred seventy-two.

### Scientific notation

• Scientific notation: 1.972 × 103

### Factors of 1972

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 48

### Divisors of 1972

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3780
• Sum of proper divisors (its aliquot sum) s(n): 1808
• 1972 is a deficient number, because the sum of its proper divisors (1808) is less than itself. Its deficiency is 164

### Bases of 1972

• Binary: 111101101002
• Base-36: 1IS

### Squares and roots of 1972

• 1972 squared (19722) is 3888784
• 1972 cubed (19723) is 7668682048
• The square root of 1972 is 44.4072066223
• The cube root of 1972 is 12.5401376463

### Scales and comparisons

How big is 1972?
• 1,972 seconds is equal to 32 minutes, 52 seconds.
• To count from 1 to 1,972 would take you about thirty-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 1972 cubic inches would be around 1 feet tall.

### Recreational maths with 1972

• 1972 backwards is 2791
• The number of decimal digits it has is: 4
• The sum of 1972's digits is 19
• More coming soon!

MLA style:
"Number 1972 - Facts about the integer". Numbermatics.com. 2021. Web. 28 November 2021.

APA style:
Numbermatics. (2021). Number 1972 - Facts about the integer. Retrieved 28 November 2021, from https://numbermatics.com/n/1972/

Chicago style:
Numbermatics. 2021. "Number 1972 - Facts about the integer". https://numbermatics.com/n/1972/

The information we have on file for 1972 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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