The number 9849
9849 is a composite number with 12 divisors. Its prime factorisation is 3 × × 67. Divisors (12): 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9849 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9849 is composite. Its prime factorisation is
- 3
The divisors add up to 15504; without 9849 itself that is 5655, so 9849 is deficient (5655 is less than 9849). Euler's totient φ(9849) = 5544 numbers up to 9849 share no factor with it.
- 4
The digits of 9849 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9849 = 3 \times 7^{2} \times 67 \]9849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15504 |
| Euler totient φ(n) | 5544 |
| Square | 97002801 |
| Cube | 955380587049 |
| Square root | 99.242128 (= 7√201) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.849 × |
9849 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and forty-nine |
| Binary (base 2) | 10011001111001 |
| Octal (base 8) | 23171 |
| Hexadecimal (base 16) | 2679 |
| Base 3 | 111111210 |
| As time | 9849 seconds = 2 h 44 min 9 s |
Is 9849 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9849 ÷ 3 = 3283) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9849 ÷ 7 = 1407) | 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 1) | 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 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9849 a prime number?
No. 9849 = 3 × × 67, so it is divisible by 3.
What are the factors of 9849?
1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849.
What is 9849 in binary?
10011001111001 (hexadecimal 2679, octal 23171).
What is the square root of 9849?
About 99.2421, exactly 7√201.
Is 9849 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9849?
It is a composite number with 12 divisors.