# 4632

## 4,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 4632 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

4632 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 4632:

### 23 × 3 × 193

(2 × 2 × 2 × 3 × 193)

See below for interesting mathematical facts about the number 4632 from the Numbermatics database.

### Names of 4632

• Cardinal: 4632 can be written as Four thousand, six hundred thirty-two.

### Scientific notation

• Scientific notation: 4.632 × 103

### Factors of 4632

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 198

### Divisors of 4632

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 11640
• Sum of proper divisors (its aliquot sum) s(n): 7008
• 4632 is an abundant number, because the sum of its proper divisors (7008) is greater than itself. Its abundance is 2376

### Bases of 4632

• Binary: 10010000110002
• Base-36: 3KO

### Squares and roots of 4632

• 4632 squared (46322) is 21455424
• 4632 cubed (46323) is 99381523968
• The square root of 4632 is 68.0587981087
• The cube root of 4632 is 16.6695106257

### Scales and comparisons

How big is 4632?
• 4,632 seconds is equal to 1 hour, 17 minutes, 12 seconds.
• To count from 1 to 4,632 would take you about seventeen 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 4632 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4632

• 4632 backwards is 2364
• The number of decimal digits it has is: 4
• The sum of 4632's digits is 15
• More coming soon!