# 9966

## 9,966 is an even composite number composed of four prime numbers multiplied together.

What does the number 9966 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

9966 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 9966:

### 2 × 3 × 11 × 151

See below for interesting mathematical facts about the number 9966 from the Numbermatics database.

### Names of 9966

• Cardinal: 9966 can be written as Nine thousand, nine hundred sixty-six.

### Scientific notation

• Scientific notation: 9.966 × 103

### Factors of 9966

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 167

### Divisors of 9966

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 21888
• Sum of proper divisors (its aliquot sum) s(n): 11922
• 9966 is an abundant number, because the sum of its proper divisors (11922) is greater than itself. Its abundance is 1956

### Bases of 9966

• Binary: 100110111011102
• Base-36: 7OU

### Squares and roots of 9966

• 9966 squared (99662) is 99321156
• 9966 cubed (99663) is 989834640696
• The square root of 9966 is 99.8298552537
• The cube root of 9966 is 21.5199022489

### Scales and comparisons

How big is 9966?
• 9,966 seconds is equal to 2 hours, 46 minutes, 6 seconds.
• To count from 1 to 9,966 would take you about two hours.

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 9966 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9966

• 9966 backwards is 6699
• The number of decimal digits it has is: 4
• The sum of 9966's digits is 30
• More coming soon!

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"Number 9966 - Facts about the integer". Numbermatics.com. 2021. Web. 26 October 2021.

APA style:
Numbermatics. (2021). Number 9966 - Facts about the integer. Retrieved 26 October 2021, from https://numbermatics.com/n/9966/

Chicago style:
Numbermatics. 2021. "Number 9966 - Facts about the integer". https://numbermatics.com/n/9966/

The information we have on file for 9966 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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