# 3003

## 3,003 is an odd composite number composed of four prime numbers multiplied together.

What does the number 3003 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

3003 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 3003:

### 3 × 7 × 11 × 13

See below for interesting mathematical facts about the number 3003 from the Numbermatics database.

### Names of 3003

• Cardinal: 3003 can be written as Three thousand and three.

### Scientific notation

• Scientific notation: 3.003 × 103

### Factors of 3003

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 34

### Divisors of 3003

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 5376
• Sum of proper divisors (its aliquot sum) s(n): 2373
• 3003 is a deficient number, because the sum of its proper divisors (2373) is less than itself. Its deficiency is 630

### Bases of 3003

• Binary: 1011101110112
• Base-36: 2BF

### Squares and roots of 3003

• 3003 squared (30032) is 9018009
• 3003 cubed (30033) is 27081081027
• The square root of 3003 is 54.7996350353
• The cube root of 3003 is 14.4273016001

### Scales and comparisons

How big is 3003?
• 3,003 seconds is equal to 50 minutes, 3 seconds.
• To count from 1 to 3,003 would take you about fifty 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 3003 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3003

• 3003 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 3003's digits is 6
• More coming soon!