# 1824

## 1,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 1824 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1824 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1824:

### 25 × 3 × 19

(2 × 2 × 2 × 2 × 2 × 3 × 19)

See below for interesting mathematical facts about the number 1824 from the Numbermatics database.

### Names of 1824

• Cardinal: 1824 can be written as One thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 1.824 × 103

### Factors of 1824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 24

### Divisors of 1824

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5040
• Sum of proper divisors (its aliquot sum) s(n): 3216
• 1824 is an abundant number, because the sum of its proper divisors (3216) is greater than itself. Its abundance is 1392

### Bases of 1824

• Binary: 111001000002
• Base-36: 1EO

### Squares and roots of 1824

• 1824 squared (18242) is 3326976
• 1824 cubed (18243) is 6068404224
• The square root of 1824 is 42.7083130081
• The cube root of 1824 is 12.2182294885

### Scales and comparisons

How big is 1824?
• 1,824 seconds is equal to 30 minutes, 24 seconds.
• To count from 1 to 1,824 would take you about thirty 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 1824 cubic inches would be around 1 feet tall.

### Recreational maths with 1824

• 1824 backwards is 4281
• The number of decimal digits it has is: 4
• The sum of 1824's digits is 15
• More coming soon!