The number 36791
36791 is a twin prime (36791 and 36793 are both prime) and the 3902nd prime number. Its only divisors are 1 and 36791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36791: a twin prime (36791 and 36793 are both prime); the 3902nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36791 is prime, so its only factors are 1 and 36791. It is the 3902nd prime; the next prime is 36793 and the one before is 36787.
- 3
The divisors add up to 36792; without 36791 itself that is 1, so 36791 is deficient (1 is less than 36791). Euler's totient φ(36791) = 36790 numbers up to 36791 share no factor with it.
- 4
The digits of 36791 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 142 steps to reach 1.
36791 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36792 |
| Euler totient φ(n) | 36790 |
| Square | 1353577681 |
| Cube | 49799476461671 |
| Square root | 191.809802 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6791 × |
36791 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and ninety-one |
| Binary (base 2) | 1000111110110111 |
| Octal (base 8) | 107667 |
| Hexadecimal (base 16) | 8FB7 |
| Base 3 | 1212110122 |
| As time | 36791 seconds = 10 h 13 min 11 s |
Is 36791 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 7) | 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 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36791 a prime number?
Yes. 36791 is divisible only by 1 and itself.
What are the factors of 36791?
1, 36791.
What is 36791 in binary?
1000111110110111 (hexadecimal 8FB7, octal 107667).
What is the square root of 36791?
About 191.8098.
Is 36791 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36791?
36791 is a twin prime (36791 and 36793 are both prime); the 3902nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.