The number 9882
9882 is a composite number with 20 divisors. Its prime factorisation is 2 × × 61. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098 … 9882.
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How to work it out
- 1
What is special about 9882: a Harshad number: divisible by its digit sum 27.
- 2
9882 is composite. Its prime factorisation is
- 3
The divisors add up to 22506; without 9882 itself that is 12624, so 9882 is abundant (12624 is more than 9882). Euler's totient φ(9882) = 3240 numbers up to 9882 share no factor with it.
- 4
The digits of 9882 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9882 = 2 \times 3^{4} \times 61 \]9882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 22506 |
| Euler totient φ(n) | 3240 |
| Square | 97653924 |
| Cube | 965016076968 |
| Square root | 99.408249 (= 9√122) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.882 × |
9882 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty-two |
| Binary (base 2) | 10011010011010 |
| Octal (base 8) | 23232 |
| Hexadecimal (base 16) | 269A |
| Base 3 | 111120000 |
| As time | 9882 seconds = 2 h 44 min 42 s |
Is 9882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9882 ÷ 2 = 4941) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9882 ÷ 3 = 3294) | 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 (9882 ÷ 6 = 1647) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (9882 ÷ 9 = 1098) | 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 4) | 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 9882 a prime number?
No. 9882 = 2 × × 61, so it is divisible by 2.
What are the factors of 9882?
1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882.
What is 9882 in binary?
10011010011010 (hexadecimal 269A, octal 23232).
What is the square root of 9882?
About 99.4082, exactly 9√122.
Is 9882 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9882?
9882 is a Harshad number: divisible by its digit sum 27.