The number 367
367 is the 73rd prime number. Its only divisors are 1 and 367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 367: the 73rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
367 is prime, so its only factors are 1 and 367. It is the 73rd prime; the next prime is 373 and the one before is 359.
- 3
The divisors add up to 368; without 367 itself that is 1, so 367 is deficient (1 is less than 367). Euler's totient φ(367) = 366 numbers up to 367 share no factor with it.
- 4
The digits of 367 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 368 |
| Euler totient φ(n) | 366 |
| Square | 134689 |
| Cube | 49430863 |
| Square root | 19.157244 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 3.67 × |
367 in other forms
| Form | Value |
|---|---|
| In words | three hundred and sixty-seven |
| Roman numerals | CCCLXVII |
| Binary (base 2) | 101101111 |
| Octal (base 8) | 557 |
| Hexadecimal (base 16) | 16F |
| Base 3 | 111121 |
| As time | 367 seconds = 6 min 7 s |
Is 367 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 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 7) | 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 4) | 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 367 a prime number?
Yes. 367 is divisible only by 1 and itself.
What are the factors of 367?
1, 367.
What is 367 in binary?
101101111 (hexadecimal 16F, octal 557).
What is the square root of 367?
About 19.1572.
What is 367 in Roman numerals?
CCCLXVII.
Is 367 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 367?
367 is the 73rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.