The number 97081
97081 is the 9343rd prime number. Its only divisors are 1 and 97081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97081: the 9343rd prime number.
- 2
97081 is prime, so its only factors are 1 and 97081. It is the 9343rd prime; the next prime is 97103 and the one before is 97073.
- 3
The divisors add up to 97082; without 97081 itself that is 1, so 97081 is deficient (1 is less than 97081). Euler's totient φ(97081) = 97080 numbers up to 97081 share no factor with it.
- 4
The digits of 97081 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
97081 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97082 |
| Euler totient φ(n) | 97080 |
| Square | 9424720561 |
| Cube | 914961296782441 |
| Square root | 311.578241 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7081 × |
97081 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and eighty-one |
| Binary (base 2) | 10111101100111001 |
| Octal (base 8) | 275471 |
| Hexadecimal (base 16) | 17B39 |
| Base 3 | 11221011121 |
| As time | 97081 seconds = 26 h 58 min 1 s |
Is 97081 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 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97081 a prime number?
Yes. 97081 is divisible only by 1 and itself.
What are the factors of 97081?
1, 97081.
What is 97081 in binary?
10111101100111001 (hexadecimal 17B39, octal 275471).
What is the square root of 97081?
About 311.5782.
Is 97081 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97081?
97081 is the 9343rd prime number.