# 12084

## 12,084 is an even composite number composed of four prime numbers multiplied together.

What does the number 12084 look like?

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

12084 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 12084:

### 22 × 3 × 19 × 53

(2 × 2 × 3 × 19 × 53)

See below for interesting mathematical facts about the number 12084 from the Numbermatics database.

### Names of 12084

• Cardinal: 12084 can be written as Twelve thousand and eighty-four.

### Scientific notation

• Scientific notation: 1.2084 × 104

### Factors of 12084

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 77

### Divisors of 12084

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 30240
• Sum of proper divisors (its aliquot sum) s(n): 18156
• 12084 is an abundant number, because the sum of its proper divisors (18156) is greater than itself. Its abundance is 6072

### Bases of 12084

• Binary: 101111001101002
• Base-36: 9BO

### Squares and roots of 12084

• 12084 squared (120842) is 146023056
• 12084 cubed (120843) is 1764542608704
• The square root of 12084 is 109.9272486693
• The cube root of 12084 is 22.9475806849

### Scales and comparisons

How big is 12084?
• 12,084 seconds is equal to 3 hours, 21 minutes, 24 seconds.
• To count from 1 to 12,084 would take you about three hours.

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 12084 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12084

• 12084 backwards is 48021
• The number of decimal digits it has is: 5
• The sum of 12084's digits is 15
• More coming soon!

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The information we have on file for 12084 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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