The number 38232
38232 is a composite number with 40 divisors. Its prime factorisation is × × 59. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 59, 72, 81 … 38232.
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How to work it out
- 1
What is special about 38232: a Harshad number: divisible by its digit sum 18.
- 2
38232 is composite. Its prime factorisation is
- 3
The divisors add up to 108900; without 38232 itself that is 70668, so 38232 is abundant (70668 is more than 38232). Euler's totient φ(38232) = 12528 numbers up to 38232 share no factor with it.
- 4
The digits of 38232 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38232 = 2^{3} \times 3^{4} \times 59 \]38232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 108900 |
| Euler totient φ(n) | 12528 |
| Square | 1461685824 |
| Cube | 55883172423168 |
| Square root | 195.530049 (= 18√118) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8232 × |
38232 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and thirty-two |
| Binary (base 2) | 1001010101011000 |
| Octal (base 8) | 112530 |
| Hexadecimal (base 16) | 9558 |
| Base 3 | 1221110000 |
| As time | 38232 seconds = 10 h 37 min 12 s |
Is 38232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38232 ÷ 2 = 19116) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38232 ÷ 3 = 12744) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38232 ÷ 4 = 9558) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38232 ÷ 6 = 6372) | 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 (38232 ÷ 8 = 4779) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38232 ÷ 9 = 4248) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38232 ÷ 12 = 3186) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38232 a prime number?
No. 38232 = × × 59, so it is divisible by 2.
What are the factors of 38232?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 59, 72, 81, 108, 118, 162, 177, 216, 236, 324, 354, 472, 531, 648, 708, 1062, 1416, 1593, 2124, 3186, 4248, 4779, 6372, 9558, 12744, 19116, 38232.
What is 38232 in binary?
1001010101011000 (hexadecimal 9558, octal 112530).
What is the square root of 38232?
About 195.5300, exactly 18√118.
Is 38232 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38232?
38232 is a Harshad number: divisible by its digit sum 18.