The number 42017
42017 is a twin prime (42017 and 42019 are both prime) and the 4394th prime number. Its only divisors are 1 and 42017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42017: a twin prime (42017 and 42019 are both prime); the 4394th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42017 is prime, so its only factors are 1 and 42017. It is the 4394th prime; the next prime is 42019 and the one before is 42013.
- 3
The divisors add up to 42018; without 42017 itself that is 1, so 42017 is deficient (1 is less than 42017). Euler's totient φ(42017) = 42016 numbers up to 42017 share no factor with it.
- 4
The digits of 42017 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
42017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42018 |
| Euler totient φ(n) | 42016 |
| Square | 1765428289 |
| Cube | 74178000418913 |
| Square root | 204.980487 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2017 × |
42017 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seventeen |
| Binary (base 2) | 1010010000100001 |
| Octal (base 8) | 122041 |
| Hexadecimal (base 16) | A421 |
| Base 3 | 2010122012 |
| As time | 42017 seconds = 11 h 40 min 17 s |
Is 42017 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 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 5) | 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 8) | 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 42017 a prime number?
Yes. 42017 is divisible only by 1 and itself.
What are the factors of 42017?
1, 42017.
What is 42017 in binary?
1010010000100001 (hexadecimal A421, octal 122041).
What is the square root of 42017?
About 204.9805.
Is 42017 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42017?
42017 is a twin prime (42017 and 42019 are both prime); the 4394th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.