# 2309

## 2,309 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 2309 look like?

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

2309 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2309:

### 2309

See below for interesting mathematical facts about the number 2309 from the Numbermatics database.

### Names of 2309

• Cardinal: 2309 can be written as Two thousand, three hundred nine.

### Scientific notation

• Scientific notation: 2.309 × 103

### Factors of 2309

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2309

### Divisors of 2309

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2310
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2309 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2308

### Bases of 2309

• Binary: 1001000001012
• Base-36: 1S5

### Squares and roots of 2309

• 2309 squared (23092) is 5331481
• 2309 cubed (23093) is 12310389629
• The square root of 2309 is 48.0520551069
• The cube root of 2309 is 13.2172562803

### Scales and comparisons

How big is 2309?
• 2,309 seconds is equal to 38 minutes, 29 seconds.
• To count from 1 to 2,309 would take you about thirty-eight 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 2309 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2309

• 2309 backwards is 9032
• 2309 is a twin prime! Its twin is 2311
• The number of decimal digits it has is: 4
• The sum of 2309's digits is 14
• More coming soon!