# 2203

## 2,203 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 2203 look like?

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

2203 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2203:

### 2203

See below for interesting mathematical facts about the number 2203 from the Numbermatics database.

### Names of 2203

• Cardinal: 2203 can be written as Two thousand, two hundred three.

### Scientific notation

• Scientific notation: 2.203 × 103

### Factors of 2203

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2203

### Divisors of 2203

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2204
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2203 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2202

### Bases of 2203

• Binary: 1000100110112
• Base-36: 1P7

### Squares and roots of 2203

• 2203 squared (22032) is 4853209
• 2203 cubed (22033) is 10691619427
• The square root of 2203 is 46.9361268109
• The cube root of 2203 is 13.0118235625

### Scales and comparisons

How big is 2203?
• 2,203 seconds is equal to 36 minutes, 43 seconds.
• To count from 1 to 2,203 would take you about thirty-six 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 2203 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2203

• 2203 backwards is 3022
• The number of decimal digits it has is: 4
• The sum of 2203's digits is 7
• More coming soon!