The number 13367
13367 is the 1586th prime number. Its only divisors are 1 and 13367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13367: the 1586th prime number.
- 2
13367 is prime, so its only factors are 1 and 13367. It is the 1586th prime; the next prime is 13381 and the one before is 13339.
- 3
The divisors add up to 13368; without 13367 itself that is 1, so 13367 is deficient (1 is less than 13367). Euler's totient φ(13367) = 13366 numbers up to 13367 share no factor with it.
- 4
The digits of 13367 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
13367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13368 |
| Euler totient φ(n) | 13366 |
| Square | 178676689 |
| Cube | 2388371301863 |
| Square root | 115.615743 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3367 × |
13367 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty-seven |
| Binary (base 2) | 11010000110111 |
| Octal (base 8) | 32067 |
| Hexadecimal (base 16) | 3437 |
| Base 3 | 200100002 |
| As time | 13367 seconds = 3 h 42 min 47 s |
Is 13367 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 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 2) | 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 2) | 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 13367 a prime number?
Yes. 13367 is divisible only by 1 and itself.
What are the factors of 13367?
1, 13367.
What is 13367 in binary?
11010000110111 (hexadecimal 3437, octal 32067).
What is the square root of 13367?
About 115.6157.
Is 13367 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13367?
13367 is the 1586th prime number.