# 404

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

What does the number 404 look like?

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

404 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 404:

### 22 × 101

(2 × 2 × 101)

See below for interesting mathematical facts about the number 404 from the Numbermatics database.

### Names of 404

• Cardinal: 404 can be written as Four hundred four.

### Scientific notation

• Scientific notation: 4.04 × 102

### Factors of 404

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 103

### Divisors of 404

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 714
• Sum of proper divisors (its aliquot sum) s(n): 310
• 404 is a deficient number, because the sum of its proper divisors (310) is less than itself. Its deficiency is 94

### Bases of 404

• Binary: 1100101002
• Base-36: B8

### Squares and roots of 404

• 404 squared (4042) is 163216
• 404 cubed (4043) is 65939264
• The square root of 404 is 20.0997512423
• The cube root of 404 is 7.3925417917

### Scales and comparisons

How big is 404?
• 404 seconds is equal to 6 minutes, 44 seconds.
• To count from 1 to 404 would take you about 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 404 cubic inches would be around 0.6 feet tall.

### Recreational maths with 404

• 404 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 3
• The sum of 404's digits is 8
• More coming soon!