# 8192

## 8,192 is an even composite number. It is composed of a single prime number multiplied by itself twelve times.

What does the number 8192 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 14 divisors.

8192 is an even composite number. It is composed of one distinct prime number multiplied by itself twelve times. It has a total of fourteen divisors.

## Prime factorization of 8192:

### 213

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 8192 from the Numbermatics database.

### Names of 8192

• Cardinal: 8192 can be written as Eight thousand, one hundred ninety-two.

### Scientific notation

• Scientific notation: 8.192 × 103

### Factors of 8192

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2

### Divisors of 8192

• Number of divisors d(n): 14
• Complete list of divisors:
• Sum of all divisors σ(n): 16383
• Sum of proper divisors (its aliquot sum) s(n): 8191
• 8192 is a deficient number, because the sum of its proper divisors (8191) is less than itself. Its deficiency is 1

### Bases of 8192

• Binary: 100000000000002
• Base-36: 6BK

### Squares and roots of 8192

• 8192 squared (81922) is 67108864
• 8192 cubed (81923) is 549755813888
• The square root of 8192 is 90.5096679919
• The cube root of 8192 is 20.1587367983

### Scales and comparisons

How big is 8192?
• 8,192 seconds is equal to 2 hours, 16 minutes, 32 seconds.
• To count from 1 to 8,192 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 8192 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8192

• 8192 backwards is 2918
• The number of decimal digits it has is: 4
• The sum of 8192's digits is 20
• More coming soon!

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The information we have on file for 8192 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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