# 6804

## 6,804 is an even composite number composed of three prime numbers multiplied together.

What does the number 6804 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

6804 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 6804:

### 22 × 35 × 7

(2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 6804 from the Numbermatics database.

### Names of 6804

• Cardinal: 6804 can be written as Six thousand, eight hundred four.

### Scientific notation

• Scientific notation: 6.804 × 103

### Factors of 6804

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 12

### Divisors of 6804

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 20384
• Sum of proper divisors (its aliquot sum) s(n): 13580
• 6804 is an abundant number, because the sum of its proper divisors (13580) is greater than itself. Its abundance is 6776

### Bases of 6804

• Binary: 11010100101002
• Base-36: 590

### Squares and roots of 6804

• 6804 squared (68042) is 46294416
• 6804 cubed (68043) is 314987206464
• The square root of 6804 is 82.4863625093
• The cube root of 6804 is 18.9490787929

### Scales and comparisons

How big is 6804?
• 6,804 seconds is equal to 1 hour, 53 minutes, 24 seconds.
• To count from 1 to 6,804 would take you about fifty-three 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 6804 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6804

• 6804 backwards is 4086
• 6804 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6804's digits is 18
• More coming soon!