The number 11048
11048 is a composite number with 8 divisors. Its prime factorisation is × 1381. Divisors (8): 1, 2, 4, 8, 1381, 2762, 5524, 11048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11048 is composite. Its prime factorisation is
- 3
The divisors add up to 20730; without 11048 itself that is 9682, so 11048 is deficient (9682 is less than 11048). Euler's totient φ(11048) = 5520 numbers up to 11048 share no factor with it.
- 4
The digits of 11048 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11048 = 2^{3} \times 1381 \]11048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20730 |
| Euler totient φ(n) | 5520 |
| Square | 122058304 |
| Cube | 1348500142592 |
| Square root | 105.109467 (= 2√2762) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1048 × |
11048 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and forty-eight |
| Binary (base 2) | 10101100101000 |
| Octal (base 8) | 25450 |
| Hexadecimal (base 16) | 2B28 |
| Base 3 | 120011012 |
| As time | 11048 seconds = 3 h 4 min 8 s |
Is 11048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11048 ÷ 2 = 5524) | 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 | Yes (11048 ÷ 4 = 2762) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (11048 ÷ 8 = 1381) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11048 a prime number?
No. 11048 = × 1381, so it is divisible by 2.
What are the factors of 11048?
1, 2, 4, 8, 1381, 2762, 5524, 11048.
What is 11048 in binary?
10101100101000 (hexadecimal 2B28, octal 25450).
What is the square root of 11048?
About 105.1095, exactly 2√2762.
Is 11048 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 11048?
11048 is a happy number: repeatedly adding the squares of its digits reaches 1.