The number 3019
3019 is the 433rd prime number. Its only divisors are 1 and 3019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3019: the 433rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3019 is prime, so its only factors are 1 and 3019. It is the 433rd prime; the next prime is 3023 and the one before is 3011.
- 3
The divisors add up to 3020; without 3019 itself that is 1, so 3019 is deficient (1 is less than 3019). Euler's totient φ(3019) = 3018 numbers up to 3019 share no factor with it.
- 4
The digits of 3019 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
3019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3020 |
| Euler totient φ(n) | 3018 |
| Square | 9114361 |
| Cube | 27516255859 |
| Square root | 54.945427 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 3.019 × |
3019 in other forms
| Form | Value |
|---|---|
| In words | three thousand and nineteen |
| Roman numerals | MMMXIX |
| Binary (base 2) | 101111001011 |
| Octal (base 8) | 5713 |
| Hexadecimal (base 16) | BCB |
| Base 3 | 11010211 |
| As time | 3019 seconds = 50 min 19 s |
Is 3019 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 2) | 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 4) | 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 5) | 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 3019 a prime number?
Yes. 3019 is divisible only by 1 and itself.
What are the factors of 3019?
1, 3019.
What is 3019 in binary?
101111001011 (hexadecimal BCB, octal 5713).
What is the square root of 3019?
About 54.9454.
What is 3019 in Roman numerals?
MMMXIX.
Is 3019 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3019?
3019 is the 433rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.