# 3180

## 3,180 is an even composite number composed of four prime numbers multiplied together.

What does the number 3180 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3180 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3180:

### 22 × 3 × 5 × 53

(2 × 2 × 3 × 5 × 53)

See below for interesting mathematical facts about the number 3180 from the Numbermatics database.

### Names of 3180

• Cardinal: 3180 can be written as Three thousand, one hundred eighty.

### Scientific notation

• Scientific notation: 3.18 × 103

### Factors of 3180

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 63

### Divisors of 3180

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9072
• Sum of proper divisors (its aliquot sum) s(n): 5892
• 3180 is an abundant number, because the sum of its proper divisors (5892) is greater than itself. Its abundance is 2712

### Bases of 3180

• Binary: 1100011011002
• Base-36: 2GC

### Squares and roots of 3180

• 3180 squared (31802) is 10112400
• 3180 cubed (31803) is 32157432000
• The square root of 3180 is 56.3914887195
• The cube root of 3180 is 14.7053615501

### Scales and comparisons

How big is 3180?
• 3,180 seconds is equal to 53 minutes.
• To count from 1 to 3,180 would take you about fifty-three 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 3180 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3180

• 3180 backwards is 0813
• 3180 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3180's digits is 12
• More coming soon!