# 2187

## 2,187 is an odd composite number. It is composed of a single prime number multiplied by itself six times.

What does the number 2187 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 8 divisors.

2187 is an odd composite number. It is composed of one distinct prime number multiplied by itself six times. It has a total of eight divisors.

## Prime factorization of 2187:

### 37

(3 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 2187 from the Numbermatics database.

### Names of 2187

• Cardinal: 2187 can be written as Two thousand, one hundred eighty-seven.

### Scientific notation

• Scientific notation: 2.187 × 103

### Factors of 2187

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 3

### Divisors of 2187

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 3280
• Sum of proper divisors (its aliquot sum) s(n): 1093
• 2187 is a deficient number, because the sum of its proper divisors (1093) is less than itself. Its deficiency is 1094

### Bases of 2187

• Binary: 1000100010112
• Base-36: 1OR

### Squares and roots of 2187

• 2187 squared (21872) is 4782969
• 2187 cubed (21873) is 10460353203
• The square root of 2187 is 46.7653718043
• The cube root of 2187 is 12.9802461327

### Scales and comparisons

How big is 2187?
• 2,187 seconds is equal to 36 minutes, 27 seconds.
• To count from 1 to 2,187 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 2187 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2187

• 2187 backwards is 7812
• The number of decimal digits it has is: 4
• The sum of 2187's digits is 18
• More coming soon!