# 5304

## 5,304 is an even composite number composed of four prime numbers multiplied together.

What does the number 5304 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

5304 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 5304:

### 23 × 3 × 13 × 17

(2 × 2 × 2 × 3 × 13 × 17)

See below for interesting mathematical facts about the number 5304 from the Numbermatics database.

### Names of 5304

• Cardinal: 5304 can be written as Five thousand, three hundred four.

### Scientific notation

• Scientific notation: 5.304 × 103

### Factors of 5304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 35

### Divisors of 5304

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 15120
• Sum of proper divisors (its aliquot sum) s(n): 9816
• 5304 is an abundant number, because the sum of its proper divisors (9816) is greater than itself. Its abundance is 4512

### Bases of 5304

• Binary: 10100101110002
• Base-36: 43C

### Squares and roots of 5304

• 5304 squared (53042) is 28132416
• 5304 cubed (53043) is 149214334464
• The square root of 5304 is 72.8285658241
• The cube root of 5304 is 17.4395191069

### Scales and comparisons

How big is 5304?
• 5,304 seconds is equal to 1 hour, 28 minutes, 24 seconds.
• To count from 1 to 5,304 would take you about twenty-eight 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 5304 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5304

• 5304 backwards is 4035
• 5304 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5304's digits is 12
• More coming soon!

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"Number 5304 - Facts about the integer". Numbermatics.com. 2022. Web. 12 August 2022.

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Numbermatics. (2022). Number 5304 - Facts about the integer. Retrieved 12 August 2022, from https://numbermatics.com/n/5304/

Chicago style:
Numbermatics. 2022. "Number 5304 - Facts about the integer". https://numbermatics.com/n/5304/

The information we have on file for 5304 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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