# 3323

## 3,323 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 3323 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

3323 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3323:

### 3323

See below for interesting mathematical facts about the number 3323 from the Numbermatics database.

### Names of 3323

• Cardinal: 3323 can be written as Three thousand, three hundred twenty-three.

### Scientific notation

• Scientific notation: 3.323 × 103

### Factors of 3323

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3323

### Divisors of 3323

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3324
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3323 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3322

### Bases of 3323

• Binary: 1100111110112
• Base-36: 2KB

### Squares and roots of 3323

• 3323 squared (33232) is 11042329
• 3323 cubed (33233) is 36693659267
• The square root of 3323 is 57.6454681653
• The cube root of 3323 is 14.9225638941

### Scales and comparisons

How big is 3323?
• 3,323 seconds is equal to 55 minutes, 23 seconds.
• To count from 1 to 3,323 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 3323 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3323

• 3323 backwards is 3233
• The number of decimal digits it has is: 4
• The sum of 3323's digits is 11
• More coming soon!