# 13356

## 13,356 is an even composite number composed of four prime numbers multiplied together.

What does the number 13356 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

13356 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 13356:

### 22 × 32 × 7 × 53

(2 × 2 × 3 × 3 × 7 × 53)

See below for interesting mathematical facts about the number 13356 from the Numbermatics database.

### Names of 13356

• Cardinal: 13356 can be written as Thirteen thousand, three hundred fifty-six.

### Scientific notation

• Scientific notation: 1.3356 × 104

### Factors of 13356

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 65

### Divisors of 13356

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 39312
• Sum of proper divisors (its aliquot sum) s(n): 25956
• 13356 is an abundant number, because the sum of its proper divisors (25956) is greater than itself. Its abundance is 12600

### Bases of 13356

• Binary: 110100001011002
• Base-36: AB0

### Squares and roots of 13356

• 13356 squared (133562) is 178382736
• 13356 cubed (133563) is 2382479822016
• The square root of 13356 is 115.5681617055
• The cube root of 13356 is 23.7260515753

### Scales and comparisons

How big is 13356?
• 13,356 seconds is equal to 3 hours, 42 minutes, 36 seconds.
• To count from 1 to 13,356 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 13356 cubic inches would be around 2 feet tall.

### Recreational maths with 13356

• 13356 backwards is 65331
• 13356 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13356's digits is 18
• More coming soon!