# 906

## 906 is an even composite number composed of three prime numbers multiplied together.

What does the number 906 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

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

## Prime factorization of 906:

### 2 × 3 × 151

See below for interesting mathematical facts about the number 906 from the Numbermatics database.

### Names of 906

• Cardinal: 906 can be written as Nine hundred six.

### Scientific notation

• Scientific notation: 9.06 × 102

### Factors of 906

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 156

### Divisors of 906

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1824
• Sum of proper divisors (its aliquot sum) s(n): 918
• 906 is an abundant number, because the sum of its proper divisors (918) is greater than itself. Its abundance is 12

### Bases of 906

• Binary: 11100010102
• Base-36: P6

### Squares and roots of 906

• 906 squared (9062) is 820836
• 906 cubed (9063) is 743677416
• The square root of 906 is 30.0998338865
• The cube root of 906 is 9.6763016631

### Scales and comparisons

How big is 906?
• 906 seconds is equal to 15 minutes, 6 seconds.
• To count from 1 to 906 would take you about seven 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 906 cubic inches would be around 0.8 feet tall.

### Recreational maths with 906

• 906 backwards is 609
• The number of decimal digits it has is: 3
• The sum of 906's digits is 15
• More coming soon!

MLA style:
"Number 906 - Facts about the integer". Numbermatics.com. 2021. Web. 19 October 2021.

APA style:
Numbermatics. (2021). Number 906 - Facts about the integer. Retrieved 19 October 2021, from https://numbermatics.com/n/906/

Chicago style:
Numbermatics. 2021. "Number 906 - Facts about the integer". https://numbermatics.com/n/906/

The information we have on file for 906 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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