The number 36637
36637 is the 3884th prime number. Its only divisors are 1 and 36637.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36637: the 3884th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36637 is prime, so its only factors are 1 and 36637. It is the 3884th prime; the next prime is 36643 and the one before is 36629.
- 3
The divisors add up to 36638; without 36637 itself that is 1, so 36637 is deficient (1 is less than 36637). Euler's totient φ(36637) = 36636 numbers up to 36637 share no factor with it.
- 4
The digits of 36637 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
36637 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36638 |
| Euler totient φ(n) | 36636 |
| Square | 1342269769 |
| Cube | 49176737526853 |
| Square root | 191.407941 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.6637 × |
36637 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand six hundred and thirty-seven |
| Binary (base 2) | 1000111100011101 |
| Octal (base 8) | 107435 |
| Hexadecimal (base 16) | 8F1D |
| Base 3 | 1212020221 |
| As time | 36637 seconds = 10 h 10 min 37 s |
Is 36637 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 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36637 a prime number?
Yes. 36637 is divisible only by 1 and itself.
What are the factors of 36637?
1, 36637.
What is 36637 in binary?
1000111100011101 (hexadecimal 8F1D, octal 107435).
What is the square root of 36637?
About 191.4079.
Is 36637 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36637?
36637 is the 3884th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.