# 5904

## 5,904 is an even composite number composed of three prime numbers multiplied together.

What does the number 5904 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

5904 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 5904:

### 24 × 32 × 41

(2 × 2 × 2 × 2 × 3 × 3 × 41)

See below for interesting mathematical facts about the number 5904 from the Numbermatics database.

### Names of 5904

• Cardinal: 5904 can be written as Five thousand, nine hundred four.

### Scientific notation

• Scientific notation: 5.904 × 103

### Factors of 5904

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 46

### Divisors of 5904

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 16926
• Sum of proper divisors (its aliquot sum) s(n): 11022
• 5904 is an abundant number, because the sum of its proper divisors (11022) is greater than itself. Its abundance is 5118

### Bases of 5904

• Binary: 10111000100002
• Base-36: 4K0

### Squares and roots of 5904

• 5904 squared (59042) is 34857216
• 5904 cubed (59043) is 205797003264
• The square root of 5904 is 76.8374908493
• The cube root of 5904 is 18.0737713161

### Scales and comparisons

How big is 5904?
• 5,904 seconds is equal to 1 hour, 38 minutes, 24 seconds.
• To count from 1 to 5,904 would take you about thirty-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 5904 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5904

• 5904 backwards is 4095
• 5904 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5904's digits is 18
• More coming soon!