# 1009

## 1,009 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 1009 look like?

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

1009 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1009:

### 1009

See below for interesting mathematical facts about the number 1009 from the Numbermatics database.

### Names of 1009

• Cardinal: 1009 can be written as One thousand and nine.

### Scientific notation

• Scientific notation: 1.009 × 103

### Factors of 1009

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1009

### Divisors of 1009

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1010
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1009 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1008

### Bases of 1009

• Binary: 11111100012
• Base-36: S1

### Squares and roots of 1009

• 1009 squared (10092) is 1018081
• 1009 cubed (10093) is 1027243729
• The square root of 1009 is 31.7647603485
• The cube root of 1009 is 10.0299104473

### Scales and comparisons

How big is 1009?
• 1,009 seconds is equal to 16 minutes, 49 seconds.
• To count from 1 to 1,009 would take you about sixteen 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 1009 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1009

• 1009 backwards is 9001
• The number of decimal digits it has is: 4
• The sum of 1009's digits is 10
• More coming soon!