# 33006

## 33,006 is an even composite number composed of three prime numbers multiplied together.

What does the number 33006 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

33006 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 33006:

### 2 × 3 × 5501

See below for interesting mathematical facts about the number 33006 from the Numbermatics database.

### Names of 33006

• Cardinal: 33006 can be written as Thirty-three thousand and six.

### Scientific notation

• Scientific notation: 3.3006 × 104

### Factors of 33006

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 5506

### Divisors of 33006

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 66024
• Sum of proper divisors (its aliquot sum) s(n): 33018
• 33006 is an abundant number, because the sum of its proper divisors (33018) is greater than itself. Its abundance is 12

### Bases of 33006

• Binary: 10000000111011102
• Base-36: PGU

### Squares and roots of 33006

• 33006 squared (330062) is 1089396036
• 33006 cubed (330063) is 35956605564216
• The square root of 33006 is 181.6755349517
• The cube root of 33006 is 32.0772871423

### Scales and comparisons

How big is 33006?
• 33,006 seconds is equal to 9 hours, 10 minutes, 6 seconds.
• To count from 1 to 33,006 would take you about nine hours.

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 33006 cubic inches would be around 2.7 feet tall.

### Recreational maths with 33006

• 33006 backwards is 60033
• The number of decimal digits it has is: 5
• The sum of 33006's digits is 12
• More coming soon!