The number 19424
19424 is a composite number with 12 divisors. Its prime factorisation is × 607. Divisors (12): 1, 2, 4, 8, 16, 32, 607, 1214, 2428, 4856, 9712, 19424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19424 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 19424 itself that is 18880, so 19424 is deficient (18880 is less than 19424). Euler's totient φ(19424) = 9696 numbers up to 19424 share no factor with it.
- 4
The digits of 19424 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19424 = 2^{5} \times 607 \]19424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 9696 |
| Square | 377291776 |
| Cube | 7328515457024 |
| Square root | 139.370011 (= 4√1214) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.9424 × |
19424 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand four hundred and twenty-four |
| Binary (base 2) | 100101111100000 |
| Octal (base 8) | 45740 |
| Hexadecimal (base 16) | 4BE0 |
| Base 3 | 222122102 |
| As time | 19424 seconds = 5 h 23 min 44 s |
Is 19424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19424 ÷ 2 = 9712) | 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 | Yes (19424 ÷ 4 = 4856) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (19424 ÷ 8 = 2428) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19424 a prime number?
No. 19424 = × 607, so it is divisible by 2.
What are the factors of 19424?
1, 2, 4, 8, 16, 32, 607, 1214, 2428, 4856, 9712, 19424.
What is 19424 in binary?
100101111100000 (hexadecimal 4BE0, octal 45740).
What is the square root of 19424?
About 139.3700, exactly 4√1214.
Is 19424 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 19424?
It is a composite number with 12 divisors.