# 3972

## 3,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 3972 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

3972 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 3972:

### 22 × 3 × 331

(2 × 2 × 3 × 331)

See below for interesting mathematical facts about the number 3972 from the Numbermatics database.

### Names of 3972

• Cardinal: 3972 can be written as Three thousand, nine hundred seventy-two.

### Scientific notation

• Scientific notation: 3.972 × 103

### Factors of 3972

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 336

### Divisors of 3972

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 9296
• Sum of proper divisors (its aliquot sum) s(n): 5324
• 3972 is an abundant number, because the sum of its proper divisors (5324) is greater than itself. Its abundance is 1352

### Bases of 3972

• Binary: 1111100001002
• Base-36: 32C

### Squares and roots of 3972

• 3972 squared (39722) is 15776784
• 3972 cubed (39723) is 62665386048
• The square root of 3972 is 63.0238050263
• The cube root of 3972 is 15.8368843989

### Scales and comparisons

How big is 3972?
• 3,972 seconds is equal to 1 hour, 6 minutes, 12 seconds.
• To count from 1 to 3,972 would take you about six 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 3972 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3972

• 3972 backwards is 2793
• The number of decimal digits it has is: 4
• The sum of 3972's digits is 21
• More coming soon!