# 3302

## 3,302 is an even composite number composed of three prime numbers multiplied together.

What does the number 3302 look like?

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

3302 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 3302:

### 2 × 13 × 127

See below for interesting mathematical facts about the number 3302 from the Numbermatics database.

### Names of 3302

• Cardinal: 3302 can be written as Three thousand, three hundred two.

### Scientific notation

• Scientific notation: 3.302 × 103

### Factors of 3302

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 142

### Divisors of 3302

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 5376
• Sum of proper divisors (its aliquot sum) s(n): 2074
• 3302 is a deficient number, because the sum of its proper divisors (2074) is less than itself. Its deficiency is 1228

### Bases of 3302

• Binary: 1100111001102
• Base-36: 2JQ

### Squares and roots of 3302

• 3302 squared (33022) is 10903204
• 3302 cubed (33023) is 36002379608
• The square root of 3302 is 57.4630315943
• The cube root of 3302 is 14.8910626101

### Scales and comparisons

How big is 3302?
• 3,302 seconds is equal to 55 minutes, 2 seconds.
• To count from 1 to 3,302 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 3302 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3302

• 3302 backwards is 2033
• The number of decimal digits it has is: 4
• The sum of 3302's digits is 8
• More coming soon!