The number 97982
97982 is a composite number with 4 divisors. Its prime factorisation is 2 × 48991. Divisors (4): 1, 2, 48991, 97982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97982: a semiprime: 2 × 48991, the product of two primes.
- 2
97982 is composite. Its prime factorisation is
- 3
The divisors add up to 146976; without 97982 itself that is 48994, so 97982 is deficient (48994 is less than 97982). Euler's totient φ(97982) = 48990 numbers up to 97982 share no factor with it.
- 4
The digits of 97982 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97982 = 2 \times 48991 \]
97982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 146976 |
| Euler totient φ(n) | 48990 |
| Square | 9600472324 |
| Cube | 940673479250168 |
| Square root | 313.020766 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7982 × |
97982 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and eighty-two |
| Binary (base 2) | 10111111010111110 |
| Octal (base 8) | 277276 |
| Hexadecimal (base 16) | 17EBE |
| Base 3 | 11222101222 |
| As time | 97982 seconds = 27 h 13 min 2 s |
Is 97982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97982 ÷ 2 = 48991) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 97982 a prime number?
No. 97982 = 2 × 48991, so it is divisible by 2.
What are the factors of 97982?
1, 2, 48991, 97982.
What is 97982 in binary?
10111111010111110 (hexadecimal 17EBE, octal 277276).
What is the square root of 97982?
About 313.0208.
Is 97982 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 97982?
97982 is a semiprime: 2 × 48991, the product of two primes.