The number 38829
38829 is a composite number with 12 divisors. Its prime factorisation is 3 × 7 × . Divisors (12): 1, 3, 7, 21, 43, 129, 301, 903, 1849, 5547, 12943, 38829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38829 is composite. Its prime factorisation is
- 3
The divisors add up to 60576; without 38829 itself that is 21747, so 38829 is deficient (21747 is less than 38829). Euler's totient φ(38829) = 21672 numbers up to 38829 share no factor with it.
- 4
The digits of 38829 add up to 30, 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
\[ 38829 = 3 \times 7 \times 43^{2} \]38829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60576 |
| Euler totient φ(n) | 21672 |
| Square | 1507691241 |
| Cube | 58542143196789 |
| Square root | 197.050755 (= 43√21) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8829 × |
38829 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and twenty-nine |
| Binary (base 2) | 1001011110101101 |
| Octal (base 8) | 113655 |
| Hexadecimal (base 16) | 97AD |
| Base 3 | 1222021010 |
| As time | 38829 seconds = 10 h 47 min 9 s |
Is 38829 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38829 ÷ 3 = 12943) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38829 ÷ 7 = 5547) | 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 | No (remainder 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38829 a prime number?
No. 38829 = 3 × 7 × , so it is divisible by 3.
What are the factors of 38829?
1, 3, 7, 21, 43, 129, 301, 903, 1849, 5547, 12943, 38829.
What is 38829 in binary?
1001011110101101 (hexadecimal 97AD, octal 113655).
What is the square root of 38829?
About 197.0508, exactly 43√21.
Is 38829 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38829?
It is a composite number with 12 divisors.