The number 9822
9822 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1637. Divisors (8): 1, 2, 3, 6, 1637, 3274, 4911, 9822.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9822 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9822 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 9822 itself that is 9834, so 9822 is abundant (9834 is more than 9822). Euler's totient φ(9822) = 3272 numbers up to 9822 share no factor with it.
- 4
The digits of 9822 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9822 = 2 \times 3 \times 1637 \]
9822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 3272 |
| Square | 96471684 |
| Cube | 947544880248 |
| Square root | 99.106004 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.822 × |
9822 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and twenty-two |
| Binary (base 2) | 10011001011110 |
| Octal (base 8) | 23136 |
| Hexadecimal (base 16) | 265E |
| Base 3 | 111110210 |
| As time | 9822 seconds = 2 h 43 min 42 s |
Is 9822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9822 ÷ 2 = 4911) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9822 ÷ 3 = 3274) | 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 (9822 ÷ 6 = 1637) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 10) | 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 9822 a prime number?
No. 9822 = 2 × 3 × 1637, so it is divisible by 2.
What are the factors of 9822?
1, 2, 3, 6, 1637, 3274, 4911, 9822.
What is 9822 in binary?
10011001011110 (hexadecimal 265E, octal 23136).
What is the square root of 9822?
About 99.1060.
Is 9822 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9822?
It is a composite number with 8 divisors.