The number 9424
9424 is a composite number with 20 divisors. Its prime factorisation is × 19 × 31. Divisors (20): 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589 … 9424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9424: a Harshad number: divisible by its digit sum 19.
- 2
9424 is composite. Its prime factorisation is
- 3
The divisors add up to 19840; without 9424 itself that is 10416, so 9424 is abundant (10416 is more than 9424). Euler's totient φ(9424) = 4320 numbers up to 9424 share no factor with it.
- 4
The digits of 9424 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9424 = 2^{4} \times 19 \times 31 \]9424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 19840 |
| Euler totient φ(n) | 4320 |
| Square | 88811776 |
| Cube | 836962177024 |
| Square root | 97.077289 (= 4√589) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.424 × |
9424 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and twenty-four |
| Binary (base 2) | 10010011010000 |
| Octal (base 8) | 22320 |
| Hexadecimal (base 16) | 24D0 |
| Base 3 | 110221001 |
| As time | 9424 seconds = 2 h 37 min 4 s |
Is 9424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9424 ÷ 2 = 4712) | 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 (9424 ÷ 4 = 2356) | 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 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 | Yes (9424 ÷ 8 = 1178) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 9424 a prime number?
No. 9424 = × 19 × 31, so it is divisible by 2.
What are the factors of 9424?
1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424.
What is 9424 in binary?
10010011010000 (hexadecimal 24D0, octal 22320).
What is the square root of 9424?
About 97.0773, exactly 4√589.
Is 9424 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9424?
9424 is a Harshad number: divisible by its digit sum 19.