# 3203

## 3,203 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 3203 look like?

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

3203 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3203:

### 3203

See below for interesting mathematical facts about the number 3203 from the Numbermatics database.

### Names of 3203

• Cardinal: 3203 can be written as Three thousand, two hundred three.

### Scientific notation

• Scientific notation: 3.203 × 103

### Factors of 3203

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3203

### Divisors of 3203

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3204
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3203 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3202

### Bases of 3203

• Binary: 1100100000112
• Base-36: 2GZ

### Squares and roots of 3203

• 3203 squared (32032) is 10259209
• 3203 cubed (32033) is 32860246427
• The square root of 3203 is 56.5950527873
• The cube root of 3203 is 14.7407295957

### Scales and comparisons

How big is 3203?
• 3,203 seconds is equal to 53 minutes, 23 seconds.
• To count from 1 to 3,203 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 3203 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3203

• 3203 backwards is 3023
• The number of decimal digits it has is: 4
• The sum of 3203's digits is 8
• More coming soon!