The number 39424
39424 is a composite number with 40 divisors. Its prime factorisation is × 7 × 11. Divisors (40): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88 … 39424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39424: a Harshad number: divisible by its digit sum 22.
- 2
39424 is composite. Its prime factorisation is
- 3
The divisors add up to 98208; without 39424 itself that is 58784, so 39424 is abundant (58784 is more than 39424). Euler's totient φ(39424) = 15360 numbers up to 39424 share no factor with it.
- 4
The digits of 39424 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39424 = 2^{9} \times 7 \times 11 \]39424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 98208 |
| Euler totient φ(n) | 15360 |
| Square | 1554251776 |
| Cube | 61274822017024 |
| Square root | 198.554778 (= 16√154) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 3.9424 × |
39424 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and twenty-four |
| Binary (base 2) | 1001101000000000 |
| Octal (base 8) | 115000 |
| Hexadecimal (base 16) | 9A00 |
| Base 3 | 2000002011 |
| As time | 39424 seconds = 10 h 57 min 4 s |
Is 39424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39424 ÷ 2 = 19712) | 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 (39424 ÷ 4 = 9856) | 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 | Yes (39424 ÷ 7 = 5632) | 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 (39424 ÷ 8 = 4928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (39424 ÷ 11 = 3584) | 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 39424 a prime number?
No. 39424 = × 7 × 11, so it is divisible by 2.
What are the factors of 39424?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 256, 308, 352, 448, 512, 616, 704, 896, 1232, 1408, 1792, 2464, 2816, 3584, 4928, 5632, 9856, 19712, 39424.
What is 39424 in binary?
1001101000000000 (hexadecimal 9A00, octal 115000).
What is the square root of 39424?
About 198.5548, exactly 16√154.
Is 39424 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 39424?
39424 is a Harshad number: divisible by its digit sum 22.