The number 11005
11005 is a composite number with 8 divisors. Its prime factorisation is 5 × 31 × 71. Divisors (8): 1, 5, 31, 71, 155, 355, 2201, 11005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11005 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 11005 itself that is 2819, so 11005 is deficient (2819 is less than 11005). Euler's totient φ(11005) = 8400 numbers up to 11005 share no factor with it.
- 4
The digits of 11005 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11005 = 5 \times 31 \times 71 \]
11005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 8400 |
| Square | 121110025 |
| Cube | 1332815825125 |
| Square root | 104.904719 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.1005 × |
11005 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and five |
| Binary (base 2) | 10101011111101 |
| Octal (base 8) | 25375 |
| Hexadecimal (base 16) | 2AFD |
| Base 3 | 120002121 |
| As time | 11005 seconds = 3 h 3 min 25 s |
Is 11005 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11005 ÷ 5 = 2201) | 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11005 a prime number?
No. 11005 = 5 × 31 × 71, so it is divisible by 5.
What are the factors of 11005?
1, 5, 31, 71, 155, 355, 2201, 11005.
What is 11005 in binary?
10101011111101 (hexadecimal 2AFD, octal 25375).
What is the square root of 11005?
About 104.9047.
Is 11005 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 11005?
It is a composite number with 8 divisors.