# 9752

## 9,752 is an even composite number composed of three prime numbers multiplied together.

What does the number 9752 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

9752 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 9752:

### 23 × 23 × 53

(2 × 2 × 2 × 23 × 53)

See below for interesting mathematical facts about the number 9752 from the Numbermatics database.

### Names of 9752

• Cardinal: 9752 can be written as Nine thousand, seven hundred fifty-two.

### Scientific notation

• Scientific notation: 9.752 × 103

### Factors of 9752

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 78

### Divisors of 9752

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 19440
• Sum of proper divisors (its aliquot sum) s(n): 9688
• 9752 is a deficient number, because the sum of its proper divisors (9688) is less than itself. Its deficiency is 64

### Bases of 9752

• Binary: 100110000110002
• Base-36: 7IW

### Squares and roots of 9752

• 9752 squared (97522) is 95101504
• 9752 cubed (97523) is 927429867008
• The square root of 9752 is 98.7522151651
• The cube root of 9752 is 21.3647540467

### Scales and comparisons

How big is 9752?
• 9,752 seconds is equal to 2 hours, 42 minutes, 32 seconds.
• To count from 1 to 9,752 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 9752 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9752

• 9752 backwards is 2579
• 9752 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9752's digits is 23
• More coming soon!