# 3300

## 3,300 is an even composite number composed of four prime numbers multiplied together.

What does the number 3300 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

3300 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 3300:

### 22 × 3 × 52 × 11

(2 × 2 × 3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 3300 from the Numbermatics database.

### Names of 3300

• Cardinal: 3300 can be written as Three thousand, three hundred.

### Scientific notation

• Scientific notation: 3.3 × 103

### Factors of 3300

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 21

### Divisors of 3300

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 10416
• Sum of proper divisors (its aliquot sum) s(n): 7116
• 3300 is an abundant number, because the sum of its proper divisors (7116) is greater than itself. Its abundance is 3816

### Bases of 3300

• Binary: 1100111001002
• Base-36: 2JO

### Squares and roots of 3300

• 3300 squared (33002) is 10890000
• 3300 cubed (33003) is 35937000000
• The square root of 3300 is 57.4456264653
• The cube root of 3300 is 14.8880555295

### Scales and comparisons

How big is 3300?
• 3,300 seconds is equal to 55 minutes.
• To count from 1 to 3,300 would take you about fifty-five 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 3300 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3300

• 3300 backwards is 0033
• 3300 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3300's digits is 6
• More coming soon!