# 804

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

What does the number 804 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

804 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 804:

### 22 × 3 × 67

(2 × 2 × 3 × 67)

See below for interesting mathematical facts about the number 804 from the Numbermatics database.

### Names of 804

• Cardinal: 804 can be written as Eight hundred four.

### Scientific notation

• Scientific notation: 8.04 × 102

### Factors of 804

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 72

### Divisors of 804

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1904
• Sum of proper divisors (its aliquot sum) s(n): 1100
• 804 is an abundant number, because the sum of its proper divisors (1100) is greater than itself. Its abundance is 296

### Bases of 804

• Binary: 11001001002
• Base-36: MC

### Squares and roots of 804

• 804 squared (8042) is 646416
• 804 cubed (8043) is 519718464
• The square root of 804 is 28.3548937575
• The cube root of 804 is 9.2986239147

### Scales and comparisons

How big is 804?
• 804 seconds is equal to 13 minutes, 24 seconds.
• To count from 1 to 804 would take you about six 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 804 cubic inches would be around 0.8 feet tall.

### Recreational maths with 804

• 804 backwards is 408
• 804 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 804's digits is 12
• More coming soon!