# 2184

## 2,184 is an even composite number composed of four prime numbers multiplied together.

What does the number 2184 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

2184 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 2184:

### 23 × 3 × 7 × 13

(2 × 2 × 2 × 3 × 7 × 13)

See below for interesting mathematical facts about the number 2184 from the Numbermatics database.

### Names of 2184

• Cardinal: 2184 can be written as Two thousand, one hundred eighty-four.

### Scientific notation

• Scientific notation: 2.184 × 103

### Factors of 2184

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 25

### Divisors of 2184

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 6720
• Sum of proper divisors (its aliquot sum) s(n): 4536
• 2184 is an abundant number, because the sum of its proper divisors (4536) is greater than itself. Its abundance is 2352

### Bases of 2184

• Binary: 1000100010002
• Base-36: 1OO

### Squares and roots of 2184

• 2184 squared (21842) is 4769856
• 2184 cubed (21843) is 10417365504
• The square root of 2184 is 46.7332857821
• The cube root of 2184 is 12.9743082335

### Scales and comparisons

How big is 2184?
• 2,184 seconds is equal to 36 minutes, 24 seconds.
• To count from 1 to 2,184 would take you about thirty-six 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 2184 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2184

• 2184 backwards is 4812
• The number of decimal digits it has is: 4
• The sum of 2184's digits is 15
• More coming soon!