The number 9797
9797 is a composite number with 4 divisors. Its prime factorisation is 97 × 101. Divisors (4): 1, 97, 101, 9797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9797: a semiprime: 97 × 101, the product of two primes.
- 2
9797 is composite. Its prime factorisation is
- 3
The divisors add up to 9996; without 9797 itself that is 199, so 9797 is deficient (199 is less than 9797). Euler's totient φ(9797) = 9600 numbers up to 9797 share no factor with it.
- 4
The digits of 9797 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9797 = 97 \times 101 \]
9797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9996 |
| Euler totient φ(n) | 9600 |
| Square | 95981209 |
| Cube | 940327904573 |
| Square root | 98.979796 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.797 × |
9797 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and ninety-seven |
| Binary (base 2) | 10011001000101 |
| Octal (base 8) | 23105 |
| Hexadecimal (base 16) | 2645 |
| Base 3 | 111102212 |
| As time | 9797 seconds = 2 h 43 min 17 s |
Is 9797 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 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9797 a prime number?
No. 9797 = 97 × 101, so it is divisible by 97.
What are the factors of 9797?
1, 97, 101, 9797.
What is 9797 in binary?
10011001000101 (hexadecimal 2645, octal 23105).
What is the square root of 9797?
About 98.9798.
Is 9797 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9797?
9797 is a semiprime: 97 × 101, the product of two primes.