# 6944

## 6,944 is an even composite number composed of three prime numbers multiplied together.

What does the number 6944 look like?

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

6944 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 6944:

### 25 × 7 × 31

(2 × 2 × 2 × 2 × 2 × 7 × 31)

See below for interesting mathematical facts about the number 6944 from the Numbermatics database.

### Names of 6944

• Cardinal: 6944 can be written as Six thousand, nine hundred forty-four.

### Scientific notation

• Scientific notation: 6.944 × 103

### Factors of 6944

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 40

### Divisors of 6944

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 16128
• Sum of proper divisors (its aliquot sum) s(n): 9184
• 6944 is an abundant number, because the sum of its proper divisors (9184) is greater than itself. Its abundance is 2240

### Bases of 6944

• Binary: 11011001000002
• Base-36: 5CW

### Squares and roots of 6944

• 6944 squared (69442) is 48219136
• 6944 cubed (69443) is 334833680384
• The square root of 6944 is 83.3306666237
• The cube root of 6944 is 19.0781636909

### Scales and comparisons

How big is 6944?
• 6,944 seconds is equal to 1 hour, 55 minutes, 44 seconds.
• To count from 1 to 6,944 would take you about fifty-five 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 6944 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6944

• 6944 backwards is 4496
• The number of decimal digits it has is: 4
• The sum of 6944's digits is 23
• More coming soon!