# 3144

## 3,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 3144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

3144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 3144:

### 23 × 3 × 131

(2 × 2 × 2 × 3 × 131)

See below for interesting mathematical facts about the number 3144 from the Numbermatics database.

### Names of 3144

• Cardinal: 3144 can be written as Three thousand, one hundred forty-four.

### Scientific notation

• Scientific notation: 3.144 × 103

### Factors of 3144

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 136

### Divisors of 3144

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 7920
• Sum of proper divisors (its aliquot sum) s(n): 4776
• 3144 is an abundant number, because the sum of its proper divisors (4776) is greater than itself. Its abundance is 1632

### Bases of 3144

• Binary: 1100010010002
• Base-36: 2FC

### Squares and roots of 3144

• 3144 squared (31442) is 9884736
• 3144 cubed (31443) is 31077609984
• The square root of 3144 is 56.0713830755
• The cube root of 3144 is 14.6496588895

### Scales and comparisons

How big is 3144?
• 3,144 seconds is equal to 52 minutes, 24 seconds.
• To count from 1 to 3,144 would take you about fifty-two 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 3144 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3144

• 3144 backwards is 4413
• 3144 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3144's digits is 12
• More coming soon!