The number 9826
9826 is a composite number with 8 divisors. Its prime factorisation is 2 Ć . Divisors (8): 1, 2, 17, 34, 289, 578, 4913, 9826.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9826 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9826 is composite. Its prime factorisation is
- 3
The divisors add up to 15660; without 9826 itself that is 5834, so 9826 is deficient (5834 is less than 9826). Euler's totient Ļ(9826) = 4624 numbers up to 9826 share no factor with it.
- 4
The digits of 9826 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9826 = 2 \times 17^{3} \]9826 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15660 |
| Euler totient Ļ(n) | 4624 |
| Square | 96550276 |
| Cube | 948703011976 |
| Square root | 99.126182 (= 17ā34) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.826 Ć |
9826 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and twenty-six |
| Binary (base 2) | 10011001100010 |
| Octal (base 8) | 23142 |
| Hexadecimal (base 16) | 2662 |
| Base 3 | 111110221 |
| As time | 9826 seconds = 2 h 43 min 46 s |
Is 9826 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9826 Ć· 2 = 4913) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9826 a prime number?
No. 9826 = 2 Ć , so it is divisible by 2.
What are the factors of 9826?
1, 2, 17, 34, 289, 578, 4913, 9826.
What is 9826 in binary?
10011001100010 (hexadecimal 2662, octal 23142).
What is the square root of 9826?
About 99.1262, exactly 17ā34.
Is 9826 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9826?
It is a composite number with 8 divisors.