The number 10767
10767 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 97. Divisors (8): 1, 3, 37, 97, 111, 291, 3589, 10767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10767 is composite. Its prime factorisation is
- 3
The divisors add up to 14896; without 10767 itself that is 4129, so 10767 is deficient (4129 is less than 10767). Euler's totient φ(10767) = 6912 numbers up to 10767 share no factor with it.
- 4
The digits of 10767 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10767 = 3 \times 37 \times 97 \]
10767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14896 |
| Euler totient φ(n) | 6912 |
| Square | 115928289 |
| Cube | 1248199887663 |
| Square root | 103.764156 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.0767 × |
10767 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and sixty-seven |
| Binary (base 2) | 10101000001111 |
| Octal (base 8) | 25017 |
| Hexadecimal (base 16) | 2A0F |
| Base 3 | 112202210 |
| As time | 10767 seconds = 2 h 59 min 27 s |
Is 10767 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 | Yes (10767 ÷ 3 = 3589) | 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 3) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10767 a prime number?
No. 10767 = 3 × 37 × 97, so it is divisible by 3.
What are the factors of 10767?
1, 3, 37, 97, 111, 291, 3589, 10767.
What is 10767 in binary?
10101000001111 (hexadecimal 2A0F, octal 25017).
What is the square root of 10767?
About 103.7642.
Is 10767 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 10767?
It is a composite number with 8 divisors.