The number 11067
11067 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 31. Divisors (16): 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11067 is composite. Its prime factorisation is
- 3
The divisors add up to 18432; without 11067 itself that is 7365, so 11067 is deficient (7365 is less than 11067). Euler's totient φ(11067) = 5760 numbers up to 11067 share no factor with it.
- 4
The digits of 11067 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11067 = 3 \times 7 \times 17 \times 31 \]
11067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18432 |
| Euler totient φ(n) | 5760 |
| Square | 122478489 |
| Cube | 1355469437763 |
| Square root | 105.199810 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.1067 × |
11067 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and sixty-seven |
| Binary (base 2) | 10101100111011 |
| Octal (base 8) | 25473 |
| Hexadecimal (base 16) | 2B3B |
| Base 3 | 120011220 |
| As time | 11067 seconds = 3 h 4 min 27 s |
Is 11067 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 (11067 ÷ 3 = 3689) | 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 | Yes (11067 ÷ 7 = 1581) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | 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 11067 a prime number?
No. 11067 = 3 × 7 × 17 × 31, so it is divisible by 3.
What are the factors of 11067?
1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067.
What is 11067 in binary?
10101100111011 (hexadecimal 2B3B, octal 25473).
What is the square root of 11067?
About 105.1998.
Is 11067 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11067?
It is a composite number with 16 divisors.