# 309

## 309 is an odd composite number composed of two prime numbers multiplied together.

What does the number 309 look like?

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

309 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 309:

### 3 × 103

See below for interesting mathematical facts about the number 309 from the Numbermatics database.

### Names of 309

• Cardinal: 309 can be written as Three hundred nine.

### Scientific notation

• Scientific notation: 3.09 × 102

### Factors of 309

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 106

### Divisors of 309

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 416
• Sum of proper divisors (its aliquot sum) s(n): 107
• 309 is a deficient number, because the sum of its proper divisors (107) is less than itself. Its deficiency is 202

### Bases of 309

• Binary: 1001101012
• Base-36: 8L

### Squares and roots of 309

• 309 squared (3092) is 95481
• 309 cubed (3093) is 29503629
• The square root of 309 is 17.5783958313
• The cube root of 309 is 6.7606143019

### Scales and comparisons

How big is 309?
• 309 seconds is equal to 5 minutes, 9 seconds.
• To count from 1 to 309 would take you about two 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 309 cubic inches would be around 0.6 feet tall.

### Recreational maths with 309

• 309 backwards is 903
• The number of decimal digits it has is: 3
• The sum of 309's digits is 12
• More coming soon!