# 3006

## 3,006 is an even composite number composed of three prime numbers multiplied together.

What does the number 3006 look like?

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

3006 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 3006:

### 2 × 32 × 167

(2 × 3 × 3 × 167)

See below for interesting mathematical facts about the number 3006 from the Numbermatics database.

### Names of 3006

• Cardinal: 3006 can be written as Three thousand and six.

### Scientific notation

• Scientific notation: 3.006 × 103

### Factors of 3006

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

### Divisors of 3006

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 6552
• Sum of proper divisors (its aliquot sum) s(n): 3546
• 3006 is an abundant number, because the sum of its proper divisors (3546) is greater than itself. Its abundance is 540

### Bases of 3006

• Binary: 1011101111102
• Base-36: 2BI

### Squares and roots of 3006

• 3006 squared (30062) is 9036036
• 3006 cubed (30063) is 27162324216
• The square root of 3006 is 54.8270006475
• The cube root of 3006 is 14.4321042973

### Scales and comparisons

How big is 3006?
• 3,006 seconds is equal to 50 minutes, 6 seconds.
• To count from 1 to 3,006 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 3006 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3006

• 3006 backwards is 6003
• 3006 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3006's digits is 9
• More coming soon!