The number 36137
36137 is the 3838th prime number. Its only divisors are 1 and 36137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36137: the 3838th prime number.
- 2
36137 is prime, so its only factors are 1 and 36137. It is the 3838th prime; the next prime is 36151 and the one before is 36131.
- 3
The divisors add up to 36138; without 36137 itself that is 1, so 36137 is deficient (1 is less than 36137). Euler's totient φ(36137) = 36136 numbers up to 36137 share no factor with it.
- 4
The digits of 36137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 248 steps to reach 1.
36137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36138 |
| Euler totient φ(n) | 36136 |
| Square | 1305882769 |
| Cube | 47190685623353 |
| Square root | 190.097343 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 248 |
| Scientific notation | 3.6137 × |
36137 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and thirty-seven |
| Binary (base 2) | 1000110100101001 |
| Octal (base 8) | 106451 |
| Hexadecimal (base 16) | 8D29 |
| Base 3 | 1211120102 |
| As time | 36137 seconds = 10 h 2 min 17 s |
Is 36137 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 2) | 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 2) | 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 2) | 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 36137 a prime number?
Yes. 36137 is divisible only by 1 and itself.
What are the factors of 36137?
1, 36137.
What is 36137 in binary?
1000110100101001 (hexadecimal 8D29, octal 106451).
What is the square root of 36137?
About 190.0973.
Is 36137 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36137?
36137 is the 3838th prime number.