The number 97682
97682 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 13, 17, 26, 34, 169, 221, 289, 338, 442, 578, 2873, 3757, 5746, 7514 … 97682.
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How to work it out
- 1
97682 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97682 is composite. Its prime factorisation is
- 3
The divisors add up to 168543; without 97682 itself that is 70861, so 97682 is deficient (70861 is less than 97682). Euler's totient φ(97682) = 42432 numbers up to 97682 share no factor with it.
- 4
The digits of 97682 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97682 = 2 \times 13^{2} \times 17^{2} \]97682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 168543 |
| Euler totient φ(n) | 42432 |
| Square | 9541773124 |
| Cube | 932059482298568 |
| Square root | 312.541197 (= 221√2) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 102 |
| Scientific notation | 9.7682 × |
97682 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and eighty-two |
| Binary (base 2) | 10111110110010010 |
| Octal (base 8) | 276622 |
| Hexadecimal (base 16) | 17D92 |
| Base 3 | 11221222212 |
| As time | 97682 seconds = 27 h 8 min 2 s |
Is 97682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97682 ÷ 2 = 48841) | 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 2) | 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 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97682 a prime number?
No. 97682 = 2 × × , so it is divisible by 2.
What are the factors of 97682?
1, 2, 13, 17, 26, 34, 169, 221, 289, 338, 442, 578, 2873, 3757, 5746, 7514, 48841, 97682.
What is 97682 in binary?
10111110110010010 (hexadecimal 17D92, octal 276622).
What is the square root of 97682?
About 312.5412, exactly 221√2.
Is 97682 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97682?
It is a composite number with 18 divisors.