# 3948

## 3,948 is an even composite number composed of four prime numbers multiplied together.

What does the number 3948 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3948 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3948:

### 22 × 3 × 7 × 47

(2 × 2 × 3 × 7 × 47)

See below for interesting mathematical facts about the number 3948 from the Numbermatics database.

### Names of 3948

• Cardinal: 3948 can be written as Three thousand, nine hundred forty-eight.

### Scientific notation

• Scientific notation: 3.948 × 103

### Factors of 3948

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 59

### Divisors of 3948

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 10752
• Sum of proper divisors (its aliquot sum) s(n): 6804
• 3948 is an abundant number, because the sum of its proper divisors (6804) is greater than itself. Its abundance is 2856

### Bases of 3948

• Binary: 1111011011002
• Base-36: 31O

### Squares and roots of 3948

• 3948 squared (39482) is 15586704
• 3948 cubed (39483) is 61536307392
• The square root of 3948 is 62.8331122897
• The cube root of 3948 is 15.8049228905

### Scales and comparisons

How big is 3948?
• 3,948 seconds is equal to 1 hour, 5 minutes, 48 seconds.
• To count from 1 to 3,948 would take you about five minutes.

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 3948 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3948

• 3948 backwards is 8493
• The number of decimal digits it has is: 4
• The sum of 3948's digits is 24
• More coming soon!

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The information we have on file for 3948 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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