# 3168

## 3,168 is an even composite number composed of three prime numbers multiplied together.

What does the number 3168 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

3168 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 3168:

### 25 × 32 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 3168 from the Numbermatics database.

### Names of 3168

• Cardinal: 3168 can be written as Three thousand, one hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.168 × 103

### Factors of 3168

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 16

### Divisors of 3168

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 9828
• Sum of proper divisors (its aliquot sum) s(n): 6660
• 3168 is an abundant number, because the sum of its proper divisors (6660) is greater than itself. Its abundance is 3492

### Bases of 3168

• Binary: 1100011000002
• Base-36: 2G0

### Squares and roots of 3168

• 3168 squared (31682) is 10036224
• 3168 cubed (31683) is 31794757632
• The square root of 3168 is 56.2849891179
• The cube root of 3168 is 14.6868409241

### Scales and comparisons

How big is 3168?
• 3,168 seconds is equal to 52 minutes, 48 seconds.
• To count from 1 to 3,168 would take you about fifty-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 3168 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3168

• 3168 backwards is 8613
• 3168 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3168's digits is 18
• More coming soon!

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"Number 3168 - Facts about the integer". Numbermatics.com. 2022. Web. 12 August 2022.

APA style:
Numbermatics. (2022). Number 3168 - Facts about the integer. Retrieved 12 August 2022, from https://numbermatics.com/n/3168/

Chicago style:
Numbermatics. 2022. "Number 3168 - Facts about the integer". https://numbermatics.com/n/3168/

The information we have on file for 3168 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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