# 1803

## 1,803 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1803 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

1803 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 1803:

### 3 × 601

See below for interesting mathematical facts about the number 1803 from the Numbermatics database.

### Names of 1803

• Cardinal: 1803 can be written as One thousand, eight hundred three.

### Scientific notation

• Scientific notation: 1.803 × 103

### Factors of 1803

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 604

### Divisors of 1803

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 2408
• Sum of proper divisors (its aliquot sum) s(n): 605
• 1803 is a deficient number, because the sum of its proper divisors (605) is less than itself. Its deficiency is 1198

### Bases of 1803

• Binary: 111000010112
• Base-36: 1E3

### Squares and roots of 1803

• 1803 squared (18032) is 3250809
• 1803 cubed (18033) is 5861208627
• The square root of 1803 is 42.4617474911
• The cube root of 1803 is 12.1711582423

### Scales and comparisons

How big is 1803?
• 1,803 seconds is equal to 30 minutes, 3 seconds.
• To count from 1 to 1,803 would take you about thirty 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 1803 cubic inches would be around 1 feet tall.

### Recreational maths with 1803

• 1803 backwards is 3081
• The number of decimal digits it has is: 4
• The sum of 1803's digits is 12
• More coming soon!