The number 38424
38424 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1601. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1601, 3202, 4803, 6404, 9606, 12808, 19212, 38424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38424 is composite. Its prime factorisation is
- 3
The divisors add up to 96120; without 38424 itself that is 57696, so 38424 is abundant (57696 is more than 38424). Euler's totient φ(38424) = 12800 numbers up to 38424 share no factor with it.
- 4
The digits of 38424 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38424 = 2^{3} \times 3 \times 1601 \]38424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96120 |
| Euler totient φ(n) | 12800 |
| Square | 1476403776 |
| Cube | 56729338689024 |
| Square root | 196.020407 (= 2√9606) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8424 × |
38424 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and twenty-four |
| Binary (base 2) | 1001011000011000 |
| Octal (base 8) | 113030 |
| Hexadecimal (base 16) | 9618 |
| Base 3 | 1221201010 |
| As time | 38424 seconds = 10 h 40 min 24 s |
Is 38424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38424 ÷ 2 = 19212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38424 ÷ 3 = 12808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38424 ÷ 4 = 9606) | 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 | Yes (38424 ÷ 6 = 6404) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (38424 ÷ 8 = 4803) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38424 ÷ 12 = 3202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38424 a prime number?
No. 38424 = × 3 × 1601, so it is divisible by 2.
What are the factors of 38424?
1, 2, 3, 4, 6, 8, 12, 24, 1601, 3202, 4803, 6404, 9606, 12808, 19212, 38424.
What is 38424 in binary?
1001011000011000 (hexadecimal 9618, octal 113030).
What is the square root of 38424?
About 196.0204, exactly 2√9606.
Is 38424 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38424?
38424 is a happy number: repeatedly adding the squares of its digits reaches 1.