# 2909

## 2,909 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 2909 look like?

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

2909 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2909:

### 2909

See below for interesting mathematical facts about the number 2909 from the Numbermatics database.

### Names of 2909

• Cardinal: 2909 can be written as Two thousand, nine hundred nine.

### Scientific notation

• Scientific notation: 2.909 × 103

### Factors of 2909

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2909

### Divisors of 2909

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2910
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2909 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2908

### Bases of 2909

• Binary: 1011010111012
• Base-36: 28T

### Squares and roots of 2909

• 2909 squared (29092) is 8462281
• 2909 cubed (29093) is 24616775429
• The square root of 2909 is 53.9351462407
• The cube root of 2909 is 14.2751684073

### Scales and comparisons

How big is 2909?
• 2,909 seconds is equal to 48 minutes, 29 seconds.
• To count from 1 to 2,909 would take you about forty-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 2909 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2909

• 2909 backwards is 9092
• The number of decimal digits it has is: 4
• The sum of 2909's digits is 20
• More coming soon!