The number 24019
24019 is the 2671st prime number. Its only divisors are 1 and 24019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24019: the 2671st prime number.
- 2
24019 is prime, so its only factors are 1 and 24019. It is the 2671st prime; the next prime is 24023 and the one before is 24007.
- 3
The divisors add up to 24020; without 24019 itself that is 1, so 24019 is deficient (1 is less than 24019). Euler's totient φ(24019) = 24018 numbers up to 24019 share no factor with it.
- 4
The digits of 24019 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 82 steps to reach 1.
24019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24020 |
| Euler totient φ(n) | 24018 |
| Square | 576912361 |
| Cube | 13856857998859 |
| Square root | 154.980644 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.4019 × |
24019 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and nineteen |
| Binary (base 2) | 101110111010011 |
| Octal (base 8) | 56723 |
| Hexadecimal (base 16) | 5DD3 |
| Base 3 | 1012221121 |
| As time | 24019 seconds = 6 h 40 min 19 s |
Is 24019 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 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 6) | 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 24019 a prime number?
Yes. 24019 is divisible only by 1 and itself.
What are the factors of 24019?
1, 24019.
What is 24019 in binary?
101110111010011 (hexadecimal 5DD3, octal 56723).
What is the square root of 24019?
About 154.9806.
Is 24019 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24019?
24019 is the 2671st prime number.