The number 98017
98017 is the 9421st prime number. Its only divisors are 1 and 98017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98017: the 9421st prime number.
- 2
98017 is prime, so its only factors are 1 and 98017. It is the 9421st prime; the next prime is 98041 and the one before is 98011.
- 3
The divisors add up to 98018; without 98017 itself that is 1, so 98017 is deficient (1 is less than 98017). Euler's totient φ(98017) = 98016 numbers up to 98017 share no factor with it.
- 4
The digits of 98017 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 159 steps to reach 1.
98017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98018 |
| Euler totient φ(n) | 98016 |
| Square | 9607332289 |
| Cube | 941681888970913 |
| Square root | 313.076668 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8017 × |
98017 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and seventeen |
| Binary (base 2) | 10111111011100001 |
| Octal (base 8) | 277341 |
| Hexadecimal (base 16) | 17EE1 |
| Base 3 | 11222110021 |
| As time | 98017 seconds = 27 h 13 min 37 s |
Is 98017 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 2) | 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 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 98017 a prime number?
Yes. 98017 is divisible only by 1 and itself.
What are the factors of 98017?
1, 98017.
What is 98017 in binary?
10111111011100001 (hexadecimal 17EE1, octal 277341).
What is the square root of 98017?
About 313.0767.
Is 98017 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 98017?
98017 is the 9421st prime number.