# 9936

## 9,936 is an even composite number composed of three prime numbers multiplied together.

What does the number 9936 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

9936 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 9936:

### 24 × 33 × 23

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 9936 from the Numbermatics database.

### Names of 9936

• Cardinal: 9936 can be written as Nine thousand, nine hundred thirty-six.

### Scientific notation

• Scientific notation: 9.936 × 103

### Factors of 9936

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 28

### Divisors of 9936

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 29760
• Sum of proper divisors (its aliquot sum) s(n): 19824
• 9936 is an abundant number, because the sum of its proper divisors (19824) is greater than itself. Its abundance is 9888

### Bases of 9936

• Binary: 100110110100002
• Base-36: 7O0

### Squares and roots of 9936

• 9936 squared (99362) is 98724096
• 9936 cubed (99363) is 980922617856
• The square root of 9936 is 99.6794863551
• The cube root of 9936 is 21.4982872261

### Scales and comparisons

How big is 9936?
• 9,936 seconds is equal to 2 hours, 45 minutes, 36 seconds.
• To count from 1 to 9,936 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 9936 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9936

• 9936 backwards is 6399
• 9936 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9936's digits is 27
• More coming soon!