# 1209

## 1,209 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1209 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1209 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1209:

### 3 × 13 × 31

See below for interesting mathematical facts about the number 1209 from the Numbermatics database.

### Names of 1209

• Cardinal: 1209 can be written as One thousand, two hundred nine.

### Scientific notation

• Scientific notation: 1.209 × 103

### Factors of 1209

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 47

### Divisors of 1209

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1792
• Sum of proper divisors (its aliquot sum) s(n): 583
• 1209 is a deficient number, because the sum of its proper divisors (583) is less than itself. Its deficiency is 626

### Bases of 1209

• Binary: 100101110012
• Base-36: XL

### Squares and roots of 1209

• 1209 squared (12092) is 1461681
• 1209 cubed (12093) is 1767172329
• The square root of 1209 is 34.7706773015
• The cube root of 1209 is 10.6530860153

### Scales and comparisons

How big is 1209?
• 1,209 seconds is equal to 20 minutes, 9 seconds.
• To count from 1 to 1,209 would take you about twenty 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 1209 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1209

• 1209 backwards is 9021
• The number of decimal digits it has is: 4
• The sum of 1209's digits is 12
• More coming soon!