# 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!

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"Number 3984 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 3984 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/3984/

Chicago style:
Numbermatics. 2023. "Number 3984 - Facts about the integer". https://numbermatics.com/n/3984/

The information we have on file for 3984 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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