The number 36809
36809 is the 3904th prime number. Its only divisors are 1 and 36809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36809: the 3904th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36809 is prime, so its only factors are 1 and 36809. It is the 3904th prime; the next prime is 36821 and the one before is 36793.
- 3
The divisors add up to 36810; without 36809 itself that is 1, so 36809 is deficient (1 is less than 36809). Euler's totient φ(36809) = 36808 numbers up to 36809 share no factor with it.
- 4
The digits of 36809 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
36809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36810 |
| Euler totient φ(n) | 36808 |
| Square | 1354902481 |
| Cube | 49872605423129 |
| Square root | 191.856717 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6809 × |
36809 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and nine |
| Binary (base 2) | 1000111111001001 |
| Octal (base 8) | 107711 |
| Hexadecimal (base 16) | 8FC9 |
| Base 3 | 1212111022 |
| As time | 36809 seconds = 10 h 13 min 29 s |
Is 36809 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 3) | 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 8) | 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 3) | 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 36809 a prime number?
Yes. 36809 is divisible only by 1 and itself.
What are the factors of 36809?
1, 36809.
What is 36809 in binary?
1000111111001001 (hexadecimal 8FC9, octal 107711).
What is the square root of 36809?
About 191.8567.
Is 36809 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36809?
36809 is the 3904th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.