# 6084

## 6,084 is an even composite number composed of three prime numbers multiplied together.

What does the number 6084 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 27 divisors.

6084 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

## Prime factorization of 6084:

### 22 × 32 × 132

(2 × 2 × 3 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 6084 from the Numbermatics database.

### Names of 6084

• Cardinal: 6084 can be written as Six thousand and eighty-four.

### Scientific notation

• Scientific notation: 6.084 × 103

### Factors of 6084

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 18

### Divisors of 6084

• Number of divisors d(n): 27
• Complete list of divisors:
• Sum of all divisors σ(n): 16653
• Sum of proper divisors (its aliquot sum) s(n): 10569
• 6084 is an abundant number, because the sum of its proper divisors (10569) is greater than itself. Its abundance is 4485

### Bases of 6084

• Binary: 10111110001002
• Base-36: 4P0

### Squares and roots of 6084

• 6084 squared (60842) is 37015056
• 6084 cubed (60843) is 225199600704
• 6084 is a perfect square number. Its square root is 78
• The cube root of 6084 is 18.2556122103

### Scales and comparisons

How big is 6084?
• 6,084 seconds is equal to 1 hour, 41 minutes, 24 seconds.
• To count from 1 to 6,084 would take you about forty-one 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 6084 cubic inches would be around 1.5 feet tall.

### Recreational maths with 6084

• 6084 backwards is 4806
• 6084 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6084's digits is 18
• More coming soon!