The number 42019
42019 is a twin prime (42017 and 42019 are both prime) and the 4395th prime number. Its only divisors are 1 and 42019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42019: a twin prime (42017 and 42019 are both prime); the 4395th prime number.
- 2
42019 is prime, so its only factors are 1 and 42019. It is the 4395th prime; the next prime is 42023 and the one before is 42017.
- 3
The divisors add up to 42020; without 42019 itself that is 1, so 42019 is deficient (1 is less than 42019). Euler's totient φ(42019) = 42018 numbers up to 42019 share no factor with it.
- 4
The digits of 42019 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
42019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42020 |
| Euler totient φ(n) | 42018 |
| Square | 1765596361 |
| Cube | 74188593492859 |
| Square root | 204.985365 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2019 × |
42019 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and nineteen |
| Binary (base 2) | 1010010000100011 |
| Octal (base 8) | 122043 |
| Hexadecimal (base 16) | A423 |
| Base 3 | 2010122021 |
| As time | 42019 seconds = 11 h 40 min 19 s |
Is 42019 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42019 a prime number?
Yes. 42019 is divisible only by 1 and itself.
What are the factors of 42019?
1, 42019.
What is 42019 in binary?
1010010000100011 (hexadecimal A423, octal 122043).
What is the square root of 42019?
About 204.9854.
Is 42019 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42019?
42019 is a twin prime (42017 and 42019 are both prime); the 4395th prime number.