# 7952

## 7,952 is an even composite number composed of three prime numbers multiplied together.

What does the number 7952 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

7952 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 7952:

### 24 × 7 × 71

(2 × 2 × 2 × 2 × 7 × 71)

See below for interesting mathematical facts about the number 7952 from the Numbermatics database.

### Names of 7952

• Cardinal: 7952 can be written as Seven thousand, nine hundred fifty-two.

### Scientific notation

• Scientific notation: 7.952 × 103

### Factors of 7952

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 80

### Divisors of 7952

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 17856
• Sum of proper divisors (its aliquot sum) s(n): 9904
• 7952 is an abundant number, because the sum of its proper divisors (9904) is greater than itself. Its abundance is 1952

### Bases of 7952

• Binary: 11111000100002
• Base-36: 64W

### Squares and roots of 7952

• 7952 squared (79522) is 63234304
• 7952 cubed (79523) is 502839185408
• The square root of 7952 is 89.1739872385
• The cube root of 7952 is 19.9599197323

### Scales and comparisons

How big is 7952?
• 7,952 seconds is equal to 2 hours, 12 minutes, 32 seconds.
• To count from 1 to 7,952 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 7952 cubic inches would be around 1.7 feet tall.

### Recreational maths with 7952

• 7952 backwards is 2597
• The number of decimal digits it has is: 4
• The sum of 7952's digits is 23
• More coming soon!