# 33004

## 33,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 33004 look like?

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

33004 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 33004:

### 22 × 37 × 223

(2 × 2 × 37 × 223)

See below for interesting mathematical facts about the number 33004 from the Numbermatics database.

### Names of 33004

• Cardinal: 33004 can be written as Thirty-three thousand and four.

### Scientific notation

• Scientific notation: 3.3004 × 104

### Factors of 33004

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 262

### Divisors of 33004

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 59584
• Sum of proper divisors (its aliquot sum) s(n): 26580
• 33004 is a deficient number, because the sum of its proper divisors (26580) is less than itself. Its deficiency is 6424

### Bases of 33004

• Binary: 10000000111011002
• Base-36: PGS

### Squares and roots of 33004

• 33004 squared (330042) is 1089264016
• 33004 cubed (330043) is 35950069584064
• The square root of 33004 is 181.6700305499
• The cube root of 33004 is 32.0766392211

### Scales and comparisons

How big is 33004?
• 33,004 seconds is equal to 9 hours, 10 minutes, 4 seconds.
• To count from 1 to 33,004 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 33004 cubic inches would be around 2.7 feet tall.

### Recreational maths with 33004

• 33004 backwards is 40033
• The number of decimal digits it has is: 5
• The sum of 33004's digits is 10
• More coming soon!