The number 1367
1367 is the 219th prime number. Its only divisors are 1 and 1367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1367: the 219th prime number.
- 2
1367 is prime, so its only factors are 1 and 1367. It is the 219th prime; the next prime is 1373 and the one before is 1361.
- 3
The divisors add up to 1368; without 1367 itself that is 1, so 1367 is deficient (1 is less than 1367). Euler's totient φ(1367) = 1366 numbers up to 1367 share no factor with it.
- 4
The digits of 1367 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
1367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1368 |
| Euler totient φ(n) | 1366 |
| Square | 1868689 |
| Cube | 2554497863 |
| Square root | 36.972963 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.367 × |
1367 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixty-seven |
| Roman numerals | MCCCLXVII |
| Binary (base 2) | 10101010111 |
| Octal (base 8) | 2527 |
| Hexadecimal (base 16) | 557 |
| Base 3 | 1212122 |
| As time | 1367 seconds = 22 min 47 s |
Is 1367 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 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 2) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 1367 a prime number?
Yes. 1367 is divisible only by 1 and itself.
What are the factors of 1367?
1, 1367.
What is 1367 in binary?
10101010111 (hexadecimal 557, octal 2527).
What is the square root of 1367?
About 36.9730.
What is 1367 in Roman numerals?
MCCCLXVII.
Is 1367 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1367?
1367 is the 219th prime number.