# 5604

## 5,604 is an even composite number composed of three prime numbers multiplied together.

What does the number 5604 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

5604 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 5604:

### 22 × 3 × 467

(2 × 2 × 3 × 467)

See below for interesting mathematical facts about the number 5604 from the Numbermatics database.

### Names of 5604

• Cardinal: 5604 can be written as Five thousand, six hundred four.

### Scientific notation

• Scientific notation: 5.604 × 103

### Factors of 5604

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 472

### Divisors of 5604

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 13104
• Sum of proper divisors (its aliquot sum) s(n): 7500
• 5604 is an abundant number, because the sum of its proper divisors (7500) is greater than itself. Its abundance is 1896

### Bases of 5604

• Binary: 10101111001002
• Base-36: 4BO

### Squares and roots of 5604

• 5604 squared (56042) is 31404816
• 5604 cubed (56043) is 175992588864
• The square root of 5604 is 74.8598690889
• The cube root of 5604 is 17.7623071427

### Scales and comparisons

How big is 5604?
• 5,604 seconds is equal to 1 hour, 33 minutes, 24 seconds.
• To count from 1 to 5,604 would take you about thirty-three 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 5604 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5604

• 5604 backwards is 4065
• The number of decimal digits it has is: 4
• The sum of 5604's digits is 15
• More coming soon!