The number 11687
11687 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 31. Divisors (8): 1, 13, 29, 31, 377, 403, 899, 11687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11687 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11687 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 11687 itself that is 1753, so 11687 is deficient (1753 is less than 11687). Euler's totient φ(11687) = 10080 numbers up to 11687 share no factor with it.
- 4
The digits of 11687 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11687 = 13 \times 29 \times 31 \]
11687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 10080 |
| Square | 136585969 |
| Cube | 1596280219703 |
| Square root | 108.106429 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1687 × |
11687 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and eighty-seven |
| Binary (base 2) | 10110110100111 |
| Octal (base 8) | 26647 |
| Hexadecimal (base 16) | 2DA7 |
| Base 3 | 121000212 |
| As time | 11687 seconds = 3 h 14 min 47 s |
Is 11687 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 5) | 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 5) | 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 11687 a prime number?
No. 11687 = 13 × 29 × 31, so it is divisible by 13.
What are the factors of 11687?
1, 13, 29, 31, 377, 403, 899, 11687.
What is 11687 in binary?
10110110100111 (hexadecimal 2DA7, octal 26647).
What is the square root of 11687?
About 108.1064.
Is 11687 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 11687?
It is a composite number with 8 divisors.