The number 9884
9884 is a composite number with 12 divisors. Its prime factorisation is × 7 × 353. Divisors (12): 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9884 is composite. Its prime factorisation is
- 3
The divisors add up to 19824; without 9884 itself that is 9940, so 9884 is abundant (9940 is more than 9884). Euler's totient φ(9884) = 4224 numbers up to 9884 share no factor with it.
- 4
The digits of 9884 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9884 = 2^{2} \times 7 \times 353 \]9884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19824 |
| Euler totient φ(n) | 4224 |
| Square | 97693456 |
| Cube | 965602119104 |
| Square root | 99.418308 (= 2√2471) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.884 × |
9884 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty-four |
| Binary (base 2) | 10011010011100 |
| Octal (base 8) | 23234 |
| Hexadecimal (base 16) | 269C |
| Base 3 | 111120002 |
| As time | 9884 seconds = 2 h 44 min 44 s |
Is 9884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9884 ÷ 2 = 4942) | 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 (9884 ÷ 4 = 2471) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (9884 ÷ 7 = 1412) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 9884 a prime number?
No. 9884 = × 7 × 353, so it is divisible by 2.
What are the factors of 9884?
1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884.
What is 9884 in binary?
10011010011100 (hexadecimal 269C, octal 23234).
What is the square root of 9884?
About 99.4183, exactly 2√2471.
Is 9884 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9884?
It is a composite number with 12 divisors.