The number 9844
9844 is a composite number with 12 divisors. Its prime factorisation is × 23 × 107. Divisors (12): 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9844 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 9844 itself that is 8300, so 9844 is deficient (8300 is less than 9844). Euler's totient φ(9844) = 4664 numbers up to 9844 share no factor with it.
- 4
The digits of 9844 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9844 = 2^{2} \times 23 \times 107 \]9844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 4664 |
| Square | 96904336 |
| Cube | 953926283584 |
| Square root | 99.216934 (= 2√2461) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.844 × |
9844 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and forty-four |
| Binary (base 2) | 10011001110100 |
| Octal (base 8) | 23164 |
| Hexadecimal (base 16) | 2674 |
| Base 3 | 111111121 |
| As time | 9844 seconds = 2 h 44 min 4 s |
Is 9844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9844 ÷ 2 = 4922) | 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 | Yes (9844 ÷ 4 = 2461) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9844 a prime number?
No. 9844 = × 23 × 107, so it is divisible by 2.
What are the factors of 9844?
1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844.
What is 9844 in binary?
10011001110100 (hexadecimal 2674, octal 23164).
What is the square root of 9844?
About 99.2169, exactly 2√2461.
Is 9844 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9844?
It is a composite number with 12 divisors.