# 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!