The number 38832
38832 is a composite number with 20 divisors. Its prime factorisation is × 3 × 809. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 809, 1618, 2427, 3236, 4854, 6472 … 38832.
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How to work it out
- 1
What is special about 38832: a Harshad number: divisible by its digit sum 24.
- 2
38832 is composite. Its prime factorisation is
- 3
The divisors add up to 100440; without 38832 itself that is 61608, so 38832 is abundant (61608 is more than 38832). Euler's totient φ(38832) = 12928 numbers up to 38832 share no factor with it.
- 4
The digits of 38832 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38832 = 2^{4} \times 3 \times 809 \]38832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 100440 |
| Euler totient φ(n) | 12928 |
| Square | 1507924224 |
| Cube | 58555713466368 |
| Square root | 197.058367 (= 4√2427) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8832 × |
38832 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and thirty-two |
| Binary (base 2) | 1001011110110000 |
| Octal (base 8) | 113660 |
| Hexadecimal (base 16) | 97B0 |
| Base 3 | 1222021020 |
| As time | 38832 seconds = 10 h 47 min 12 s |
Is 38832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38832 ÷ 2 = 19416) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38832 ÷ 3 = 12944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38832 ÷ 4 = 9708) | 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 (38832 ÷ 6 = 6472) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (38832 ÷ 8 = 4854) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38832 ÷ 12 = 3236) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38832 a prime number?
No. 38832 = × 3 × 809, so it is divisible by 2.
What are the factors of 38832?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 809, 1618, 2427, 3236, 4854, 6472, 9708, 12944, 19416, 38832.
What is 38832 in binary?
1001011110110000 (hexadecimal 97B0, octal 113660).
What is the square root of 38832?
About 197.0584, exactly 4√2427.
Is 38832 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38832?
38832 is a Harshad number: divisible by its digit sum 24.