The number 11022
11022 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 167. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 167, 334, 501, 1002, 1837, 3674, 5511, 11022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11022: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.
- 2
11022 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 11022 itself that is 13170, so 11022 is abundant (13170 is more than 11022). Euler's totient φ(11022) = 3320 numbers up to 11022 share no factor with it.
- 4
The digits of 11022 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11022 = 2 \times 3 \times 11 \times 167 \]
11022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 3320 |
| Square | 121484484 |
| Cube | 1339001982648 |
| Square root | 104.985713 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1022 × |
11022 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and twenty-two |
| Binary (base 2) | 10101100001110 |
| Octal (base 8) | 25416 |
| Hexadecimal (base 16) | 2B0E |
| Base 3 | 120010020 |
| As time | 11022 seconds = 3 h 3 min 42 s |
Is 11022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11022 ÷ 2 = 5511) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11022 ÷ 3 = 3674) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11022 ÷ 6 = 1837) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11022 ÷ 11 = 1002) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11022 a prime number?
No. 11022 = 2 × 3 × 11 × 167, so it is divisible by 2.
What are the factors of 11022?
1, 2, 3, 6, 11, 22, 33, 66, 167, 334, 501, 1002, 1837, 3674, 5511, 11022.
What is 11022 in binary?
10101100001110 (hexadecimal 2B0E, octal 25416).
What is the square root of 11022?
About 104.9857.
Is 11022 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 11022?
11022 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.