# 4002

## 4,002 is an even composite number composed of four prime numbers multiplied together.

What does the number 4002 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

4002 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 4002:

### 2 × 3 × 23 × 29

See below for interesting mathematical facts about the number 4002 from the Numbermatics database.

### Names of 4002

• Cardinal: 4002 can be written as Four thousand and two.

### Scientific notation

• Scientific notation: 4.002 × 103

### Factors of 4002

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 57

### Divisors of 4002

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 8640
• Sum of proper divisors (its aliquot sum) s(n): 4638
• 4002 is an abundant number, because the sum of its proper divisors (4638) is greater than itself. Its abundance is 636

### Bases of 4002

• Binary: 1111101000102
• Base-36: 336

### Squares and roots of 4002

• 4002 squared (40022) is 16016004
• 4002 cubed (40023) is 64096048008
• The square root of 4002 is 63.2613626157
• The cube root of 4002 is 15.8766557473

### Scales and comparisons

How big is 4002?
• 4,002 seconds is equal to 1 hour, 6 minutes, 42 seconds.
• To count from 1 to 4,002 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 4002 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4002

• 4002 backwards is 2004
• 4002 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4002's digits is 6
• More coming soon!

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"Number 4002 - Facts about the integer". Numbermatics.com. 2023. Web. 3 February 2023.

APA style:
Numbermatics. (2023). Number 4002 - Facts about the integer. Retrieved 3 February 2023, from https://numbermatics.com/n/4002/

Chicago style:
Numbermatics. 2023. "Number 4002 - Facts about the integer". https://numbermatics.com/n/4002/

The information we have on file for 4002 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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