The number 19024
19024 is a composite number with 20 divisors. Its prime factorisation is × 29 × 41. Divisors (20): 1, 2, 4, 8, 16, 29, 41, 58, 82, 116, 164, 232, 328, 464, 656, 1189 … 19024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19024: a Harshad number: divisible by its digit sum 16.
- 2
19024 is composite. Its prime factorisation is
- 3
The divisors add up to 39060; without 19024 itself that is 20036, so 19024 is abundant (20036 is more than 19024). Euler's totient φ(19024) = 8960 numbers up to 19024 share no factor with it.
- 4
The digits of 19024 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19024 = 2^{4} \times 29 \times 41 \]19024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 39060 |
| Euler totient φ(n) | 8960 |
| Square | 361912576 |
| Cube | 6885024845824 |
| Square root | 137.927517 (= 4√1189) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.9024 × |
19024 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and twenty-four |
| Binary (base 2) | 100101001010000 |
| Octal (base 8) | 45120 |
| Hexadecimal (base 16) | 4A50 |
| Base 3 | 222002121 |
| As time | 19024 seconds = 5 h 17 min 4 s |
Is 19024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19024 ÷ 2 = 9512) | 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 | Yes (19024 ÷ 4 = 4756) | 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 4) | 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 | Yes (19024 ÷ 8 = 2378) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19024 a prime number?
No. 19024 = × 29 × 41, so it is divisible by 2.
What are the factors of 19024?
1, 2, 4, 8, 16, 29, 41, 58, 82, 116, 164, 232, 328, 464, 656, 1189, 2378, 4756, 9512, 19024.
What is 19024 in binary?
100101001010000 (hexadecimal 4A50, octal 45120).
What is the square root of 19024?
About 137.9275, exactly 4√1189.
Is 19024 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 19024?
19024 is a Harshad number: divisible by its digit sum 16.