# 3347

## 3,347 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 3347 look like?

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

3347 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3347:

### 3347

See below for interesting mathematical facts about the number 3347 from the Numbermatics database.

### Names of 3347

• Cardinal: 3347 can be written as Three thousand, three hundred forty-seven.

### Scientific notation

• Scientific notation: 3.347 × 103

### Factors of 3347

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3347

### Divisors of 3347

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3348
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3347 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3346

### Bases of 3347

• Binary: 1101000100112
• Base-36: 2KZ

### Squares and roots of 3347

• 3347 squared (33472) is 11202409
• 3347 cubed (33473) is 37494462923
• The square root of 3347 is 57.8532626565
• The cube root of 3347 is 14.9584032727

### Scales and comparisons

How big is 3347?
• 3,347 seconds is equal to 55 minutes, 47 seconds.
• To count from 1 to 3,347 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 3347 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3347

• 3347 backwards is 7433
• The number of decimal digits it has is: 4
• The sum of 3347's digits is 17
• More coming soon!