The number 38828
38828 is a composite number with 12 divisors. Its prime factorisation is × 17 × 571. Divisors (12): 1, 2, 4, 17, 34, 68, 571, 1142, 2284, 9707, 19414, 38828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38828 is composite. Its prime factorisation is
- 3
The divisors add up to 72072; without 38828 itself that is 33244, so 38828 is deficient (33244 is less than 38828). Euler's totient φ(38828) = 18240 numbers up to 38828 share no factor with it.
- 4
The digits of 38828 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38828 = 2^{2} \times 17 \times 571 \]38828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72072 |
| Euler totient φ(n) | 18240 |
| Square | 1507613584 |
| Cube | 58537620239552 |
| Square root | 197.048217 (= 2√9707) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8828 × |
38828 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and twenty-eight |
| Binary (base 2) | 1001011110101100 |
| Octal (base 8) | 113654 |
| Hexadecimal (base 16) | 97AC |
| Base 3 | 1222021002 |
| As time | 38828 seconds = 10 h 47 min 8 s |
Is 38828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38828 ÷ 2 = 19414) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38828 ÷ 4 = 9707) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38828 a prime number?
No. 38828 = × 17 × 571, so it is divisible by 2.
What are the factors of 38828?
1, 2, 4, 17, 34, 68, 571, 1142, 2284, 9707, 19414, 38828.
What is 38828 in binary?
1001011110101100 (hexadecimal 97AC, octal 113654).
What is the square root of 38828?
About 197.0482, exactly 2√9707.
Is 38828 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38828?
It is a composite number with 12 divisors.