The number 6367
6367 is the 830th prime number. Its only divisors are 1 and 6367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6367: the 830th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6367 is prime, so its only factors are 1 and 6367. It is the 830th prime; the next prime is 6373 and the one before is 6361.
- 3
The divisors add up to 6368; without 6367 itself that is 1, so 6367 is deficient (1 is less than 6367). Euler's totient φ(6367) = 6366 numbers up to 6367 share no factor with it.
- 4
The digits of 6367 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
6367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6368 |
| Euler totient φ(n) | 6366 |
| Square | 40538689 |
| Cube | 258109832863 |
| Square root | 79.793483 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.367 × |
6367 in other forms
| Form | Value |
|---|---|
| In words | six thousand three hundred and sixty-seven |
| Binary (base 2) | 1100011011111 |
| Octal (base 8) | 14337 |
| Hexadecimal (base 16) | 18DF |
| Base 3 | 22201211 |
| As time | 6367 seconds = 1 h 46 min 7 s |
Is 6367 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 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 4) | 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 4) | 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 9) | 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 6367 a prime number?
Yes. 6367 is divisible only by 1 and itself.
What are the factors of 6367?
1, 6367.
What is 6367 in binary?
1100011011111 (hexadecimal 18DF, octal 14337).
What is the square root of 6367?
About 79.7935.
Is 6367 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6367?
6367 is the 830th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.