# 9600

## 9,600 is an even composite number composed of three prime numbers multiplied together.

What does the number 9600 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

9600 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 9600:

### 27 × 3 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 9600 from the Numbermatics database.

### Names of 9600

• Cardinal: 9600 can be written as Nine thousand, six hundred.

### Scientific notation

• Scientific notation: 9.6 × 103

### Factors of 9600

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 10

### Divisors of 9600

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 31620
• Sum of proper divisors (its aliquot sum) s(n): 22020
• 9600 is an abundant number, because the sum of its proper divisors (22020) is greater than itself. Its abundance is 12420

### Bases of 9600

• Binary: 100101100000002
• Base-36: 7EO

### Squares and roots of 9600

• 9600 squared (96002) is 92160000
• 9600 cubed (96003) is 884736000000
• The square root of 9600 is 97.9795897113
• The cube root of 9600 is 21.2531713835

### Scales and comparisons

How big is 9600?
• 9,600 seconds is equal to 2 hours, 40 minutes.
• To count from 1 to 9,600 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 9600 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9600

• 9600 backwards is 0069
• 9600 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9600's digits is 15
• More coming soon!