The number 13567
13567 is the 1605th prime number. Its only divisors are 1 and 13567.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13567: the 1605th prime number.
- 2
13567 is prime, so its only factors are 1 and 13567. It is the 1605th prime; the next prime is 13577 and the one before is 13553.
- 3
The divisors add up to 13568; without 13567 itself that is 1, so 13567 is deficient (1 is less than 13567). Euler's totient φ(13567) = 13566 numbers up to 13567 share no factor with it.
- 4
The digits of 13567 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 182 steps to reach 1.
13567 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13568 |
| Euler totient φ(n) | 13566 |
| Square | 184063489 |
| Cube | 2497189355263 |
| Square root | 116.477466 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3567 × |
13567 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and sixty-seven |
| Binary (base 2) | 11010011111111 |
| Octal (base 8) | 32377 |
| Hexadecimal (base 16) | 34FF |
| Base 3 | 200121111 |
| As time | 13567 seconds = 3 h 46 min 7 s |
Is 13567 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 1) | 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 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 13567 a prime number?
Yes. 13567 is divisible only by 1 and itself.
What are the factors of 13567?
1, 13567.
What is 13567 in binary?
11010011111111 (hexadecimal 34FF, octal 32377).
What is the square root of 13567?
About 116.4775.
Is 13567 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13567?
13567 is the 1605th prime number.