# 3984

## 3,984 is an even composite number composed of three prime numbers multiplied together.

What does the number 3984 look like?

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

3984 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 3984:

### 24 × 3 × 83

(2 × 2 × 2 × 2 × 3 × 83)

See below for interesting mathematical facts about the number 3984 from the Numbermatics database.

### Names of 3984

• Cardinal: 3984 can be written as Three thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 3.984 × 103

### Factors of 3984

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 88

### Divisors of 3984

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 10416
• Sum of proper divisors (its aliquot sum) s(n): 6432
• 3984 is an abundant number, because the sum of its proper divisors (6432) is greater than itself. Its abundance is 2448

### Bases of 3984

• Binary: 1111100100002
• Base-36: 32O

### Squares and roots of 3984

• 3984 squared (39842) is 15872256
• 3984 cubed (39843) is 63235067904
• The square root of 3984 is 63.1189353521
• The cube root of 3984 is 15.8528168889

### Scales and comparisons

How big is 3984?
• 3,984 seconds is equal to 1 hour, 6 minutes, 24 seconds.
• To count from 1 to 3,984 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 3984 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3984

• 3984 backwards is 4893
• 3984 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3984's digits is 24
• More coming soon!