# 11003

## 11,003 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 11003 look like?

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

11003 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 11003:

### 11003

See below for interesting mathematical facts about the number 11003 from the Numbermatics database.

### Names of 11003

• Cardinal: 11003 can be written as Eleven thousand and three.

### Scientific notation

• Scientific notation: 1.1003 × 104

### Factors of 11003

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 11003

### Divisors of 11003

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 11004
• Sum of proper divisors (its aliquot sum) s(n): 1
• 11003 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 11002

### Bases of 11003

• Binary: 101010111110112
• Base-36: 8HN

### Squares and roots of 11003

• 11003 squared (110032) is 121066009
• 11003 cubed (110033) is 1332089297027
• The square root of 11003 is 104.8951857809
• The cube root of 11003 is 22.2418225221

### Scales and comparisons

How big is 11003?
• 11,003 seconds is equal to 3 hours, 3 minutes, 23 seconds.
• To count from 1 to 11,003 would take you about three hours.

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 11003 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11003

• 11003 backwards is 30011
• The number of decimal digits it has is: 5
• The sum of 11003's digits is 5
• More coming soon!