The number 36739
36739 is the 3895th prime number. Its only divisors are 1 and 36739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36739: the 3895th prime number.
- 2
36739 is prime, so its only factors are 1 and 36739. It is the 3895th prime; the next prime is 36749 and the one before is 36721.
- 3
The divisors add up to 36740; without 36739 itself that is 1, so 36739 is deficient (1 is less than 36739). Euler's totient φ(36739) = 36738 numbers up to 36739 share no factor with it.
- 4
The digits of 36739 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
36739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36740 |
| Euler totient φ(n) | 36738 |
| Square | 1349754121 |
| Cube | 49588616651419 |
| Square root | 191.674203 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6739 × |
36739 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and thirty-nine |
| Binary (base 2) | 1000111110000011 |
| Octal (base 8) | 107603 |
| Hexadecimal (base 16) | 8F83 |
| Base 3 | 1212101201 |
| As time | 36739 seconds = 10 h 12 min 19 s |
Is 36739 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 3) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36739 a prime number?
Yes. 36739 is divisible only by 1 and itself.
What are the factors of 36739?
1, 36739.
What is 36739 in binary?
1000111110000011 (hexadecimal 8F83, octal 107603).
What is the square root of 36739?
About 191.6742.
Is 36739 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 36739?
36739 is the 3895th prime number.