The number 11006
11006 is a composite number with 4 divisors. Its prime factorisation is 2 × 5503. Divisors (4): 1, 2, 5503, 11006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11006: a semiprime: 2 × 5503, the product of two primes.
- 2
11006 is composite. Its prime factorisation is
- 3
The divisors add up to 16512; without 11006 itself that is 5506, so 11006 is deficient (5506 is less than 11006). Euler's totient φ(11006) = 5502 numbers up to 11006 share no factor with it.
- 4
The digits of 11006 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11006 = 2 \times 5503 \]
11006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16512 |
| Euler totient φ(n) | 5502 |
| Square | 121132036 |
| Cube | 1333179188216 |
| Square root | 104.909485 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.1006 × |
11006 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and six |
| Binary (base 2) | 10101011111110 |
| Octal (base 8) | 25376 |
| Hexadecimal (base 16) | 2AFE |
| Base 3 | 120002122 |
| As time | 11006 seconds = 3 h 3 min 26 s |
Is 11006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11006 ÷ 2 = 5503) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11006 a prime number?
No. 11006 = 2 × 5503, so it is divisible by 2.
What are the factors of 11006?
1, 2, 5503, 11006.
What is 11006 in binary?
10101011111110 (hexadecimal 2AFE, octal 25376).
What is the square root of 11006?
About 104.9095.
Is 11006 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 11006?
11006 is a semiprime: 2 × 5503, the product of two primes.