# 4096

## 4,096 is an even composite number. It is composed of a single prime number multiplied by itself eleven times.

What does the number 4096 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 13 divisors.

4096 is an even composite number. It is composed of one distinct prime number multiplied by itself eleven times. It has a total of thirteen divisors.

## Prime factorization of 4096:

### 212

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

See below for interesting mathematical facts about the number 4096 from the Numbermatics database.

### Names of 4096

• Cardinal: 4096 can be written as Four thousand and ninety-six.

### Scientific notation

• Scientific notation: 4.096 × 103

### Factors of 4096

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2

### Divisors of 4096

• Number of divisors d(n): 13
• Complete list of divisors:
• Sum of all divisors σ(n): 8191
• Sum of proper divisors (its aliquot sum) s(n): 4095
• 4096 is a deficient number, because the sum of its proper divisors (4095) is less than itself. Its deficiency is 1

### Bases of 4096

• Binary: 10000000000002
• Base-36: 35S

### Squares and roots of 4096

• 4096 squared (40962) is 16777216
• 4096 cubed (40963) is 68719476736
• 4096 is a perfect square number. Its square root is 64
• 4096 is a perfect cube number. Its cube root is 16

### Scales and comparisons

How big is 4096?
• 4,096 seconds is equal to 1 hour, 8 minutes, 16 seconds.
• To count from 1 to 4,096 would take you about eight 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 4096 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4096

• 4096 backwards is 6904
• The number of decimal digits it has is: 4
• The sum of 4096's digits is 19
• More coming soon!

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"Number 4096 - Facts about the integer". Numbermatics.com. 2023. Web. 28 March 2023.

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Numbermatics. (2023). Number 4096 - Facts about the integer. Retrieved 28 March 2023, from https://numbermatics.com/n/4096/

Chicago style:
Numbermatics. 2023. "Number 4096 - Facts about the integer". https://numbermatics.com/n/4096/

The information we have on file for 4096 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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