The number 9922
9922 is a composite number with 12 divisors. Its prime factorisation is 2 × × 41. Divisors (12): 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9922: a Harshad number: divisible by its digit sum 22.
- 2
9922 is composite. Its prime factorisation is
- 3
The divisors add up to 16758; without 9922 itself that is 6836, so 9922 is deficient (6836 is less than 9922). Euler's totient φ(9922) = 4400 numbers up to 9922 share no factor with it.
- 4
The digits of 9922 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9922 = 2 \times 11^{2} \times 41 \]9922 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16758 |
| Euler totient φ(n) | 4400 |
| Square | 98446084 |
| Cube | 976782045448 |
| Square root | 99.609237 (= 11√82) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.922 × |
9922 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-two |
| Binary (base 2) | 10011011000010 |
| Octal (base 8) | 23302 |
| Hexadecimal (base 16) | 26C2 |
| Base 3 | 111121111 |
| As time | 9922 seconds = 2 h 45 min 22 s |
Is 9922 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9922 ÷ 2 = 4961) | 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 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 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (9922 ÷ 11 = 902) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9922 a prime number?
No. 9922 = 2 × × 41, so it is divisible by 2.
What are the factors of 9922?
1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922.
What is 9922 in binary?
10011011000010 (hexadecimal 26C2, octal 23302).
What is the square root of 9922?
About 99.6092, exactly 11√82.
Is 9922 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9922?
9922 is a Harshad number: divisible by its digit sum 22.