The number 13687
13687 is the 1617th prime number. Its only divisors are 1 and 13687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13687: the 1617th prime number.
- 2
13687 is prime, so its only factors are 1 and 13687. It is the 1617th prime; the next prime is 13691 and the one before is 13681.
- 3
The divisors add up to 13688; without 13687 itself that is 1, so 13687 is deficient (1 is less than 13687). Euler's totient φ(13687) = 13686 numbers up to 13687 share no factor with it.
- 4
The digits of 13687 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
13687 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13688 |
| Euler totient φ(n) | 13686 |
| Square | 187333969 |
| Cube | 2564040033703 |
| Square root | 116.991453 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3687 × |
13687 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and eighty-seven |
| Binary (base 2) | 11010101110111 |
| Octal (base 8) | 32567 |
| Hexadecimal (base 16) | 3577 |
| Base 3 | 200202221 |
| As time | 13687 seconds = 3 h 48 min 7 s |
Is 13687 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 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 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 3) | 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 13687 a prime number?
Yes. 13687 is divisible only by 1 and itself.
What are the factors of 13687?
1, 13687.
What is 13687 in binary?
11010101110111 (hexadecimal 3577, octal 32567).
What is the square root of 13687?
About 116.9915.
Is 13687 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13687?
13687 is the 1617th prime number.