The number 97684
97684 is a composite number with 6 divisors. Its prime factorisation is × 24421. Divisors (6): 1, 2, 4, 24421, 48842, 97684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97684 is composite. Its prime factorisation is
- 3
The divisors add up to 170954; without 97684 itself that is 73270, so 97684 is deficient (73270 is less than 97684). Euler's totient φ(97684) = 48840 numbers up to 97684 share no factor with it.
- 4
The digits of 97684 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97684 = 2^{2} \times 24421 \]97684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 170954 |
| Euler totient φ(n) | 48840 |
| Square | 9542163856 |
| Cube | 932116734109504 |
| Square root | 312.544397 (= 2√24421) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7684 × |
97684 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and eighty-four |
| Binary (base 2) | 10111110110010100 |
| Octal (base 8) | 276624 |
| Hexadecimal (base 16) | 17D94 |
| Base 3 | 11221222221 |
| As time | 97684 seconds = 27 h 8 min 4 s |
Is 97684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97684 ÷ 2 = 48842) | 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 | Yes (97684 ÷ 4 = 24421) | 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 | No (remainder 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97684 a prime number?
No. 97684 = × 24421, so it is divisible by 2.
What are the factors of 97684?
1, 2, 4, 24421, 48842, 97684.
What is 97684 in binary?
10111110110010100 (hexadecimal 17D94, octal 276624).
What is the square root of 97684?
About 312.5444, exactly 2√24421.
Is 97684 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 97684?
It is a composite number with 6 divisors.