The number 97317
97317 is a composite number with 12 divisors. Its prime factorisation is × 11 × 983. Divisors (12): 1, 3, 9, 11, 33, 99, 983, 2949, 8847, 10813, 32439, 97317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97317 is composite. Its prime factorisation is
- 3
The divisors add up to 153504; without 97317 itself that is 56187, so 97317 is deficient (56187 is less than 97317). Euler's totient φ(97317) = 58920 numbers up to 97317 share no factor with it.
- 4
The digits of 97317 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97317 = 3^{2} \times 11 \times 983 \]97317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 153504 |
| Euler totient φ(n) | 58920 |
| Square | 9470598489 |
| Cube | 921650233154013 |
| Square root | 311.956728 (= 3√10813) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7317 × |
97317 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and seventeen |
| Binary (base 2) | 10111110000100101 |
| Octal (base 8) | 276045 |
| Hexadecimal (base 16) | 17C25 |
| Base 3 | 11221111100 |
| As time | 97317 seconds = 27 h 1 min 57 s |
Is 97317 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 (97317 ÷ 3 = 32439) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (97317 ÷ 9 = 10813) | 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 | Yes (97317 ÷ 11 = 8847) | 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 97317 a prime number?
No. 97317 = × 11 × 983, so it is divisible by 3.
What are the factors of 97317?
1, 3, 9, 11, 33, 99, 983, 2949, 8847, 10813, 32439, 97317.
What is 97317 in binary?
10111110000100101 (hexadecimal 17C25, octal 276045).
What is the square root of 97317?
About 311.9567, exactly 3√10813.
Is 97317 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97317?
It is a composite number with 12 divisors.