The number 9834
9834 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 149. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9834 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9834 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 9834 itself that is 11766, so 9834 is abundant (11766 is more than 9834). Euler's totient φ(9834) = 2960 numbers up to 9834 share no factor with it.
- 4
The digits of 9834 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9834 = 2 \times 3 \times 11 \times 149 \]
9834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 2960 |
| Square | 96707556 |
| Cube | 951022105704 |
| Square root | 99.166527 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.834 × |
9834 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and thirty-four |
| Binary (base 2) | 10011001101010 |
| Octal (base 8) | 23152 |
| Hexadecimal (base 16) | 266A |
| Base 3 | 111111020 |
| As time | 9834 seconds = 2 h 43 min 54 s |
Is 9834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9834 ÷ 2 = 4917) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9834 ÷ 3 = 3278) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9834 ÷ 6 = 1639) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 6) | 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 | Yes (9834 ÷ 11 = 894) | 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 9834 a prime number?
No. 9834 = 2 × 3 × 11 × 149, so it is divisible by 2.
What are the factors of 9834?
1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834.
What is 9834 in binary?
10011001101010 (hexadecimal 266A, octal 23152).
What is the square root of 9834?
About 99.1665.
Is 9834 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9834?
It is a composite number with 16 divisors.