The number 11049
11049 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 127. Divisors (8): 1, 3, 29, 87, 127, 381, 3683, 11049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11049 is composite. Its prime factorisation is
- 3
The divisors add up to 15360; without 11049 itself that is 4311, so 11049 is deficient (4311 is less than 11049). Euler's totient φ(11049) = 7056 numbers up to 11049 share no factor with it.
- 4
The digits of 11049 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11049 = 3 \times 29 \times 127 \]
11049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15360 |
| Euler totient φ(n) | 7056 |
| Square | 122080401 |
| Cube | 1348866350649 |
| Square root | 105.114224 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1049 × |
11049 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and forty-nine |
| Binary (base 2) | 10101100101001 |
| Octal (base 8) | 25451 |
| Hexadecimal (base 16) | 2B29 |
| Base 3 | 120011020 |
| As time | 11049 seconds = 3 h 4 min 9 s |
Is 11049 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 (11049 ÷ 3 = 3683) | 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 | No (remainder 4) | 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 3) | 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 1) | 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 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11049 a prime number?
No. 11049 = 3 × 29 × 127, so it is divisible by 3.
What are the factors of 11049?
1, 3, 29, 87, 127, 381, 3683, 11049.
What is 11049 in binary?
10101100101001 (hexadecimal 2B29, octal 25451).
What is the square root of 11049?
About 105.1142.
Is 11049 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11049?
It is a composite number with 8 divisors.