The number 32009
32009 is the 3434th prime number. Its only divisors are 1 and 32009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32009: the 3434th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32009 is prime, so its only factors are 1 and 32009. It is the 3434th prime; the next prime is 32027 and the one before is 32003.
- 3
The divisors add up to 32010; without 32009 itself that is 1, so 32009 is deficient (1 is less than 32009). Euler's totient φ(32009) = 32008 numbers up to 32009 share no factor with it.
- 4
The digits of 32009 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
32009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32010 |
| Euler totient φ(n) | 32008 |
| Square | 1024576081 |
| Cube | 32795655776729 |
| Square root | 178.910592 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.2009 × |
32009 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and nine |
| Binary (base 2) | 111110100001001 |
| Octal (base 8) | 76411 |
| Hexadecimal (base 16) | 7D09 |
| Base 3 | 1121220112 |
| As time | 32009 seconds = 8 h 53 min 29 s |
Is 32009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32009 a prime number?
Yes. 32009 is divisible only by 1 and itself.
What are the factors of 32009?
1, 32009.
What is 32009 in binary?
111110100001001 (hexadecimal 7D09, octal 76411).
What is the square root of 32009?
About 178.9106.
Is 32009 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32009?
32009 is the 3434th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.