# 13806

## 13,806 is an even composite number composed of four prime numbers multiplied together.

What does the number 13806 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

13806 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 13806:

### 2 × 32 × 13 × 59

(2 × 3 × 3 × 13 × 59)

See below for interesting mathematical facts about the number 13806 from the Numbermatics database.

### Names of 13806

• Cardinal: 13806 can be written as Thirteen thousand, eight hundred six.

### Scientific notation

• Scientific notation: 1.3806 × 104

### Factors of 13806

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 77

### Divisors of 13806

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 32760
• Sum of proper divisors (its aliquot sum) s(n): 18954
• 13806 is an abundant number, because the sum of its proper divisors (18954) is greater than itself. Its abundance is 5148

### Bases of 13806

• Binary: 110101111011102
• Base-36: ANI

### Squares and roots of 13806

• 13806 squared (138062) is 190605636
• 13806 cubed (138063) is 2631501410616
• The square root of 13806 is 117.4989361655
• The cube root of 13806 is 23.9895788089

### Scales and comparisons

How big is 13806?
• 13,806 seconds is equal to 3 hours, 50 minutes, 6 seconds.
• To count from 1 to 13,806 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 13806 cubic inches would be around 2 feet tall.

### Recreational maths with 13806

• 13806 backwards is 60831
• 13806 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13806's digits is 18
• More coming soon!