# 7164

## 7,164 is an even composite number composed of three prime numbers multiplied together.

What does the number 7164 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

7164 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 7164:

### 22 × 32 × 199

(2 × 2 × 3 × 3 × 199)

See below for interesting mathematical facts about the number 7164 from the Numbermatics database.

### Names of 7164

• Cardinal: 7164 can be written as Seven thousand, one hundred sixty-four.

### Scientific notation

• Scientific notation: 7.164 × 103

### Factors of 7164

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 204

### Divisors of 7164

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 18200
• Sum of proper divisors (its aliquot sum) s(n): 11036
• 7164 is an abundant number, because the sum of its proper divisors (11036) is greater than itself. Its abundance is 3872

### Bases of 7164

• Binary: 11011111111002
• Base-36: 5J0

### Squares and roots of 7164

• 7164 squared (71642) is 51322896
• 7164 cubed (71643) is 367677226944
• The square root of 7164 is 84.6404158779
• The cube root of 7164 is 19.2775509249

### Scales and comparisons

How big is 7164?
• 7,164 seconds is equal to 1 hour, 59 minutes, 24 seconds.
• To count from 1 to 7,164 would take you about fifty-nine 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 7164 cubic inches would be around 1.6 feet tall.

### Recreational maths with 7164

• 7164 backwards is 4617
• 7164 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 7164's digits is 18
• More coming soon!

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"Number 7164 - Facts about the integer". Numbermatics.com. 2021. Web. 28 October 2021.

APA style:
Numbermatics. (2021). Number 7164 - Facts about the integer. Retrieved 28 October 2021, from https://numbermatics.com/n/7164/

Chicago style:
Numbermatics. 2021. "Number 7164 - Facts about the integer". https://numbermatics.com/n/7164/

The information we have on file for 7164 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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