# 33005

## 33,005 is an odd composite number composed of four prime numbers multiplied together.

What does the number 33005 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

33005 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 33005:

### 5 × 7 × 23 × 41

See below for interesting mathematical facts about the number 33005 from the Numbermatics database.

### Names of 33005

• Cardinal: 33005 can be written as Thirty-three thousand and five.

### Scientific notation

• Scientific notation: 3.3005 × 104

### Factors of 33005

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 76

### Divisors of 33005

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 48384
• Sum of proper divisors (its aliquot sum) s(n): 15379
• 33005 is a deficient number, because the sum of its proper divisors (15379) is less than itself. Its deficiency is 17626

### Bases of 33005

• Binary: 10000000111011012
• Base-36: PGT

### Squares and roots of 33005

• 33005 squared (330052) is 1089330025
• 33005 cubed (330053) is 35953337475125
• The square root of 33005 is 181.6727827717
• The cube root of 33005 is 32.0769631849

### Scales and comparisons

How big is 33005?
• 33,005 seconds is equal to 9 hours, 10 minutes, 5 seconds.
• To count from 1 to 33,005 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 33005 cubic inches would be around 2.7 feet tall.

### Recreational maths with 33005

• 33005 backwards is 50033
• The number of decimal digits it has is: 5
• The sum of 33005's digits is 11
• More coming soon!