# 4224

## 4,224 is an even composite number composed of three prime numbers multiplied together.

What does the number 4224 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

4224 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 4224:

### 27 × 3 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11)

See below for interesting mathematical facts about the number 4224 from the Numbermatics database.

### Names of 4224

• Cardinal: 4224 can be written as Four thousand, two hundred twenty-four.

### Scientific notation

• Scientific notation: 4.224 × 103

### Factors of 4224

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 16

### Divisors of 4224

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 12240
• Sum of proper divisors (its aliquot sum) s(n): 8016
• 4224 is an abundant number, because the sum of its proper divisors (8016) is greater than itself. Its abundance is 3792

### Bases of 4224

• Binary: 10000100000002
• Base-36: 39C

### Squares and roots of 4224

• 4224 squared (42242) is 17842176
• 4224 cubed (42243) is 75365351424
• The square root of 4224 is 64.9923072371
• The cube root of 4224 is 16.1649600823

### Scales and comparisons

How big is 4224?
• 4,224 seconds is equal to 10 minutes, 24 seconds.
• To count from 1 to 4,224 would take you about ten 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 4224 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4224

• 4224 is the same when its digits are reversed! That makes it a palindromic number.
• 4224 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4224's digits is 12
• More coming soon!