# 2088

## 2,088 is an even composite number composed of three prime numbers multiplied together.

What does the number 2088 look like?

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

2088 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 2088:

### 23 × 32 × 29

(2 × 2 × 2 × 3 × 3 × 29)

See below for interesting mathematical facts about the number 2088 from the Numbermatics database.

### Names of 2088

• Cardinal: 2088 can be written as Two thousand and eighty-eight.

### Scientific notation

• Scientific notation: 2.088 × 103

### Factors of 2088

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 34

### Divisors of 2088

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5850
• Sum of proper divisors (its aliquot sum) s(n): 3762
• 2088 is an abundant number, because the sum of its proper divisors (3762) is greater than itself. Its abundance is 1674

### Bases of 2088

• Binary: 1000001010002
• Base-36: 1M0

### Squares and roots of 2088

• 2088 squared (20882) is 4359744
• 2088 cubed (20883) is 9103145472
• The square root of 2088 is 45.6946386351
• The cube root of 2088 is 12.7813530569

### Scales and comparisons

How big is 2088?
• 2,088 seconds is equal to 34 minutes, 48 seconds.
• To count from 1 to 2,088 would take you about thirty-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 2088 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2088

• 2088 backwards is 8802
• 2088 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2088's digits is 18
• More coming soon!

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"Number 2088 - Facts about the integer". Numbermatics.com. 2022. Web. 12 August 2022.

APA style:
Numbermatics. (2022). Number 2088 - Facts about the integer. Retrieved 12 August 2022, from https://numbermatics.com/n/2088/

Chicago style:
Numbermatics. 2022. "Number 2088 - Facts about the integer". https://numbermatics.com/n/2088/

The information we have on file for 2088 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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