# 3313

## 3,313 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 3313 look like?

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

3313 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3313:

### 3313

See below for interesting mathematical facts about the number 3313 from the Numbermatics database.

### Names of 3313

• Cardinal: 3313 can be written as Three thousand, three hundred thirteen.

### Scientific notation

• Scientific notation: 3.313 × 103

### Factors of 3313

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3313

### Divisors of 3313

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3314
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3313 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3312

### Bases of 3313

• Binary: 1100111100012
• Base-36: 2K1

### Squares and roots of 3313

• 3313 squared (33132) is 10975969
• 3313 cubed (33133) is 36363385297
• The square root of 3313 is 57.5586657245
• The cube root of 3313 is 14.9075798859

### Scales and comparisons

How big is 3313?
• 3,313 seconds is equal to 55 minutes, 13 seconds.
• To count from 1 to 3,313 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 3313 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3313

• 3313 backwards is 3133
• The number of decimal digits it has is: 4
• The sum of 3313's digits is 10
• More coming soon!