# 3209

## 3,209 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 3209 look like?

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

3209 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3209:

### 3209

See below for interesting mathematical facts about the number 3209 from the Numbermatics database.

### Names of 3209

• Cardinal: 3209 can be written as Three thousand, two hundred nine.

### Scientific notation

• Scientific notation: 3.209 × 103

### Factors of 3209

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3209

### Divisors of 3209

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3210
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3209 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3208

### Bases of 3209

• Binary: 1100100010012
• Base-36: 2H5

### Squares and roots of 3209

• 3209 squared (32092) is 10297681
• 3209 cubed (32093) is 33045258329
• The square root of 3209 is 56.6480361531
• The cube root of 3209 is 14.7499281813

### Scales and comparisons

How big is 3209?
• 3,209 seconds is equal to 53 minutes, 29 seconds.
• To count from 1 to 3,209 would take you about fifty-three 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 3209 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3209

• 3209 backwards is 9023
• The number of decimal digits it has is: 4
• The sum of 3209's digits is 14
• More coming soon!