# 3872

## 3,872 is an even composite number composed of two prime numbers multiplied together.

What does the number 3872 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

3872 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 3872:

### 25 × 112

(2 × 2 × 2 × 2 × 2 × 11 × 11)

See below for interesting mathematical facts about the number 3872 from the Numbermatics database.

### Names of 3872

• Cardinal: 3872 can be written as Three thousand, eight hundred seventy-two.

### Scientific notation

• Scientific notation: 3.872 × 103

### Factors of 3872

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 13

### Divisors of 3872

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 8379
• Sum of proper divisors (its aliquot sum) s(n): 4507
• 3872 is an abundant number, because the sum of its proper divisors (4507) is greater than itself. Its abundance is 635

### Bases of 3872

• Binary: 1111001000002
• Base-36: 2ZK

### Squares and roots of 3872

• 3872 squared (38722) is 14992384
• 3872 cubed (38723) is 58050510848
• The square root of 3872 is 62.2253967445
• The cube root of 3872 is 15.7028488211

### Scales and comparisons

How big is 3872?
• 3,872 seconds is equal to 1 hour, 4 minutes, 32 seconds.
• To count from 1 to 3,872 would take you about four 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 3872 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3872

• 3872 backwards is 2783
• The number of decimal digits it has is: 4
• The sum of 3872's digits is 20
• More coming soon!