# 3004

## 3,004 is an even composite number composed of two prime numbers multiplied together.

What does the number 3004 look like?

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

3004 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 3004:

### 22 × 751

(2 × 2 × 751)

See below for interesting mathematical facts about the number 3004 from the Numbermatics database.

### Names of 3004

• Cardinal: 3004 can be written as Three thousand and four.

### Scientific notation

• Scientific notation: 3.004 × 103

### Factors of 3004

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 753

### Divisors of 3004

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 5264
• Sum of proper divisors (its aliquot sum) s(n): 2260
• 3004 is a deficient number, because the sum of its proper divisors (2260) is less than itself. Its deficiency is 744

### Bases of 3004

• Binary: 1011101111002
• Base-36: 2BG

### Squares and roots of 3004

• 3004 squared (30042) is 9024016
• 3004 cubed (30043) is 27108144064
• The square root of 3004 is 54.8087584241
• The cube root of 3004 is 14.4289028543

### Scales and comparisons

How big is 3004?
• 3,004 seconds is equal to 50 minutes, 4 seconds.
• To count from 1 to 3,004 would take you about fifty 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 3004 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3004

• 3004 backwards is 4003
• The number of decimal digits it has is: 4
• The sum of 3004's digits is 7
• More coming soon!