# 6404

## 6,404 is an even composite number composed of two prime numbers multiplied together.

What does the number 6404 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

6404 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 6404:

### 22 × 1601

(2 × 2 × 1601)

See below for interesting mathematical facts about the number 6404 from the Numbermatics database.

### Names of 6404

• Cardinal: 6404 can be written as Six thousand, four hundred four.

### Scientific notation

• Scientific notation: 6.404 × 103

### Factors of 6404

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 1603

### Divisors of 6404

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 11214
• Sum of proper divisors (its aliquot sum) s(n): 4810
• 6404 is a deficient number, because the sum of its proper divisors (4810) is less than itself. Its deficiency is 1594

### Bases of 6404

• Binary: 11001000001002
• Base-36: 4XW

### Squares and roots of 6404

• 6404 squared (64042) is 41011216
• 6404 cubed (64043) is 262635827264
• The square root of 6404 is 80.0249960949
• The cube root of 6404 is 18.5702225197

### Scales and comparisons

How big is 6404?
• 6,404 seconds is equal to 1 hour, 46 minutes, 44 seconds.
• To count from 1 to 6,404 would take you about forty-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 6404 cubic inches would be around 1.5 feet tall.

### Recreational maths with 6404

• 6404 backwards is 4046
• The number of decimal digits it has is: 4
• The sum of 6404's digits is 14
• More coming soon!