The number 4019
4019 is a twin prime (4019 and 4021 are both prime) and the 555th prime number. Its only divisors are 1 and 4019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4019: a twin prime (4019 and 4021 are both prime); the 555th prime number.
- 2
4019 is prime, so its only factors are 1 and 4019. It is the 555th prime; the next prime is 4021 and the one before is 4013.
- 3
The divisors add up to 4020; without 4019 itself that is 1, so 4019 is deficient (1 is less than 4019). Euler's totient φ(4019) = 4018 numbers up to 4019 share no factor with it.
- 4
The digits of 4019 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 25 steps to reach 1.
4019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4020 |
| Euler totient φ(n) | 4018 |
| Square | 16152361 |
| Cube | 64916338859 |
| Square root | 63.395583 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 25 |
| Scientific notation | 4.019 × |
4019 in other forms
| Form | Value |
|---|---|
| In words | four thousand and nineteen |
| Binary (base 2) | 111110110011 |
| Octal (base 8) | 7663 |
| Hexadecimal (base 16) | FB3 |
| Base 3 | 12111212 |
| As time | 4019 seconds = 1 h 6 min 59 s |
Is 4019 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 1) | 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 5) | 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 4) | 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 4019 a prime number?
Yes. 4019 is divisible only by 1 and itself.
What are the factors of 4019?
1, 4019.
What is 4019 in binary?
111110110011 (hexadecimal FB3, octal 7663).
What is the square root of 4019?
About 63.3956.
Is 4019 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4019?
4019 is a twin prime (4019 and 4021 are both prime); the 555th prime number.