The number 10791
10791 is a composite number with 12 divisors. Its prime factorisation is × 11 × 109. Divisors (12): 1, 3, 9, 11, 33, 99, 109, 327, 981, 1199, 3597, 10791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10791 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10791 is composite. Its prime factorisation is
- 3
The divisors add up to 17160; without 10791 itself that is 6369, so 10791 is deficient (6369 is less than 10791). Euler's totient φ(10791) = 6480 numbers up to 10791 share no factor with it.
- 4
The digits of 10791 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10791 = 3^{2} \times 11 \times 109 \]10791 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17160 |
| Euler totient φ(n) | 6480 |
| Square | 116445681 |
| Cube | 1256565343671 |
| Square root | 103.879738 (= 3√1199) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0791 × |
10791 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and ninety-one |
| Binary (base 2) | 10101000100111 |
| Octal (base 8) | 25047 |
| Hexadecimal (base 16) | 2A27 |
| Base 3 | 112210200 |
| As time | 10791 seconds = 2 h 59 min 51 s |
Is 10791 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 (10791 ÷ 3 = 3597) | 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 1) | 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 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 | Yes (10791 ÷ 9 = 1199) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10791 ÷ 11 = 981) | 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 10791 a prime number?
No. 10791 = × 11 × 109, so it is divisible by 3.
What are the factors of 10791?
1, 3, 9, 11, 33, 99, 109, 327, 981, 1199, 3597, 10791.
What is 10791 in binary?
10101000100111 (hexadecimal 2A27, octal 25047).
What is the square root of 10791?
About 103.8797, exactly 3√1199.
Is 10791 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10791?
It is a composite number with 12 divisors.