# 23509

## 23,509 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 23509 look like?

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

23509 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 23509:

### 23509

See below for interesting mathematical facts about the number 23509 from the Numbermatics database.

### Names of 23509

• Cardinal: 23509 can be written as Twenty-three thousand, five hundred nine.

### Scientific notation

• Scientific notation: 2.3509 × 104

### Factors of 23509

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 23509

### Divisors of 23509

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 23510
• Sum of proper divisors (its aliquot sum) s(n): 1
• 23509 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 23508

### Bases of 23509

• Binary: 1011011110101012
• Base-36: I51

### Squares and roots of 23509

• 23509 squared (235092) is 552673081
• 23509 cubed (235093) is 12992791461229
• The square root of 23509 is 153.3264491209
• The cube root of 23509 is 28.6469277011

### Scales and comparisons

How big is 23509?
• 23,509 seconds is equal to 6 hours, 31 minutes, 49 seconds.
• To count from 1 to 23,509 would take you about six hours.

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 23509 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23509

• 23509 backwards is 90532
• The number of decimal digits it has is: 5
• The sum of 23509's digits is 19
• More coming soon!