# 13872

## 13,872 is an even composite number composed of three prime numbers multiplied together.

What does the number 13872 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

13872 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 13872:

### 24 × 3 × 172

(2 × 2 × 2 × 2 × 3 × 17 × 17)

See below for interesting mathematical facts about the number 13872 from the Numbermatics database.

### Names of 13872

• Cardinal: 13872 can be written as Thirteen thousand, eight hundred seventy-two.

### Scientific notation

• Scientific notation: 1.3872 × 104

### Factors of 13872

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 22

### Divisors of 13872

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 38068
• Sum of proper divisors (its aliquot sum) s(n): 24196
• 13872 is an abundant number, because the sum of its proper divisors (24196) is greater than itself. Its abundance is 10324

### Bases of 13872

• Binary: 110110001100002
• Hexadecimal: 0x3630
• Base-36: APC

### Squares and roots of 13872

• 13872 squared (138722) is 192432384
• 13872 cubed (138723) is 2669422030848
• The square root of 13872 is 117.7794549147
• The cube root of 13872 is 24.0277456895

### Scales and comparisons

How big is 13872?
• 13,872 seconds is equal to 3 hours, 51 minutes, 12 seconds.
• To count from 1 to 13,872 would take you about three 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 13872 cubic inches would be around 2 feet tall.

### Recreational maths with 13872

• 13872 backwards is 27831
• The number of decimal digits it has is: 5
• The sum of 13872's digits is 21
• More coming soon!

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The information we have on file for 13872 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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