# 2688

## 2,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 2688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

2688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 2688:

### 27 × 3 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7)

See below for interesting mathematical facts about the number 2688 from the Numbermatics database.

### Names of 2688

• Cardinal: 2688 can be written as Two thousand, six hundred eighty-eight.

### Scientific notation

• Scientific notation: 2.688 × 103

### Factors of 2688

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12

### Divisors of 2688

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 8160
• Sum of proper divisors (its aliquot sum) s(n): 5472
• 2688 is an abundant number, because the sum of its proper divisors (5472) is greater than itself. Its abundance is 2784

### Bases of 2688

• Binary: 1010100000002
• Base-36: 22O

### Squares and roots of 2688

• 2688 squared (26882) is 7225344
• 2688 cubed (26883) is 19421724672
• The square root of 2688 is 51.8459255873
• The cube root of 2688 is 13.9041065793

### Scales and comparisons

How big is 2688?
• 2,688 seconds is equal to 44 minutes, 48 seconds.
• To count from 1 to 2,688 would take you about forty-four 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 2688 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2688

• 2688 backwards is 8862
• 2688 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2688's digits is 24
• More coming soon!

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The information we have on file for 2688 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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