The number 11767
11767 is a composite number with 6 divisors. Its prime factorisation is 7 Ć . Divisors (6): 1, 7, 41, 287, 1681, 11767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11767 is composite. Its prime factorisation is
- 3
The divisors add up to 13784; without 11767 itself that is 2017, so 11767 is deficient (2017 is less than 11767). Euler's totient Ļ(11767) = 9840 numbers up to 11767 share no factor with it.
- 4
The digits of 11767 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11767 = 7 \times 41^{2} \]11767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13784 |
| Euler totient Ļ(n) | 9840 |
| Square | 138462289 |
| Cube | 1629285754663 |
| Square root | 108.475804 (= 41ā7) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1767 Ć |
11767 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and sixty-seven |
| Binary (base 2) | 10110111110111 |
| Octal (base 8) | 26767 |
| Hexadecimal (base 16) | 2DF7 |
| Base 3 | 121010211 |
| As time | 11767 seconds = 3 h 16 min 7 s |
Is 11767 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 | Yes (11767 Ć· 7 = 1681) | 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 8) | 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 11767 a prime number?
No. 11767 = 7 Ć , so it is divisible by 7.
What are the factors of 11767?
1, 7, 41, 287, 1681, 11767.
What is 11767 in binary?
10110111110111 (hexadecimal 2DF7, octal 26767).
What is the square root of 11767?
About 108.4758, exactly 41ā7.
Is 11767 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 11767?
It is a composite number with 6 divisors.