The number 1019
1019 is a twin prime (1019 and 1021 are both prime) and the 171st prime number. Its only divisors are 1 and 1019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1019: a twin prime (1019 and 1021 are both prime); the 171st prime number.
- 2
1019 is prime, so its only factors are 1 and 1019. It is the 171st prime; the next prime is 1021 and the one before is 1013.
- 3
The divisors add up to 1020; without 1019 itself that is 1, so 1019 is deficient (1 is less than 1019). Euler's totient φ(1019) = 1018 numbers up to 1019 share no factor with it.
- 4
The digits of 1019 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
1019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1020 |
| Euler totient φ(n) | 1018 |
| Square | 1038361 |
| Cube | 1058089859 |
| Square root | 31.921779 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.019 × |
1019 in other forms
| Form | Value |
|---|---|
| In words | one thousand and nineteen |
| Roman numerals | MXIX |
| Binary (base 2) | 1111111011 |
| Octal (base 8) | 1773 |
| Hexadecimal (base 16) | 3FB |
| Base 3 | 1101202 |
| As time | 1019 seconds = 16 min 59 s |
Is 1019 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1019 a prime number?
Yes. 1019 is divisible only by 1 and itself.
What are the factors of 1019?
1, 1019.
What is 1019 in binary?
1111111011 (hexadecimal 3FB, octal 1773).
What is the square root of 1019?
About 31.9218.
What is 1019 in Roman numerals?
MXIX.
Is 1019 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1019?
1019 is a twin prime (1019 and 1021 are both prime); the 171st prime number.