# 2004

## 2,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 2004 look like?

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

2004 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 2004:

### 22 × 3 × 167

(2 × 2 × 3 × 167)

See below for interesting mathematical facts about the number 2004 from the Numbermatics database.

### Names of 2004

• Cardinal: 2004 can be written as Two thousand and four.

### Scientific notation

• Scientific notation: 2.004 × 103

### Factors of 2004

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 172

### Divisors of 2004

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4704
• Sum of proper divisors (its aliquot sum) s(n): 2700
• 2004 is an abundant number, because the sum of its proper divisors (2700) is greater than itself. Its abundance is 696

### Bases of 2004

• Binary: 111110101002
• Base-36: 1JO

### Squares and roots of 2004

• 2004 squared (20042) is 4016016
• 2004 cubed (20043) is 8048096064
• The square root of 2004 is 44.7660585711
• The cube root of 2004 is 12.6076043791

### Scales and comparisons

How big is 2004?
• 2,004 seconds is equal to 33 minutes, 24 seconds.
• To count from 1 to 2,004 would take you about thirty-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 2004 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2004

• 2004 backwards is 4002
• 2004 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2004's digits is 6
• More coming soon!