The number 90017
90017 is a twin prime (90017 and 90019 are both prime) and the 8717th prime number. Its only divisors are 1 and 90017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90017: a twin prime (90017 and 90019 are both prime); the 8717th prime number.
- 2
90017 is prime, so its only factors are 1 and 90017. It is the 8717th prime; the next prime is 90019 and the one before is 90011.
- 3
The divisors add up to 90018; without 90017 itself that is 1, so 90017 is deficient (1 is less than 90017). Euler's totient φ(90017) = 90016 numbers up to 90017 share no factor with it.
- 4
The digits of 90017 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
90017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 90018 |
| Euler totient φ(n) | 90016 |
| Square | 8103060289 |
| Cube | 729413178034913 |
| Square root | 300.028332 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.0017 × |
90017 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and seventeen |
| Binary (base 2) | 10101111110100001 |
| Octal (base 8) | 257641 |
| Hexadecimal (base 16) | 15FA1 |
| Base 3 | 11120110222 |
| As time | 90017 seconds = 25 h 0 min 17 s |
Is 90017 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 2) | 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 5) | 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 1) | 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 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90017 a prime number?
Yes. 90017 is divisible only by 1 and itself.
What are the factors of 90017?
1, 90017.
What is 90017 in binary?
10101111110100001 (hexadecimal 15FA1, octal 257641).
What is the square root of 90017?
About 300.0283.
Is 90017 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 90017?
90017 is a twin prime (90017 and 90019 are both prime); the 8717th prime number.