The number 9798
9798 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 71. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9798 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9798 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 9798 itself that is 10938, so 9798 is abundant (10938 is more than 9798). Euler's totient φ(9798) = 3080 numbers up to 9798 share no factor with it.
- 4
The digits of 9798 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9798 = 2 \times 3 \times 23 \times 71 \]
9798 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 3080 |
| Square | 96000804 |
| Cube | 940615877592 |
| Square root | 98.984847 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.798 × |
9798 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and ninety-eight |
| Binary (base 2) | 10011001000110 |
| Octal (base 8) | 23106 |
| Hexadecimal (base 16) | 2646 |
| Base 3 | 111102220 |
| As time | 9798 seconds = 2 h 43 min 18 s |
Is 9798 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9798 ÷ 2 = 4899) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9798 ÷ 3 = 3266) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9798 ÷ 6 = 1633) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 9798 a prime number?
No. 9798 = 2 × 3 × 23 × 71, so it is divisible by 2.
What are the factors of 9798?
1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798.
What is 9798 in binary?
10011001000110 (hexadecimal 2646, octal 23106).
What is the square root of 9798?
About 98.9848.
Is 9798 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 9798?
It is a composite number with 16 divisors.