The number 38788
38788 is a composite number with 6 divisors. Its prime factorisation is × 9697. Divisors (6): 1, 2, 4, 9697, 19394, 38788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38788 is composite. Its prime factorisation is
- 3
The divisors add up to 67886; without 38788 itself that is 29098, so 38788 is deficient (29098 is less than 38788). Euler's totient φ(38788) = 19392 numbers up to 38788 share no factor with it.
- 4
The digits of 38788 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38788 = 2^{2} \times 9697 \]38788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 67886 |
| Euler totient φ(n) | 19392 |
| Square | 1504508944 |
| Cube | 58356892919872 |
| Square root | 196.946693 (= 2√9697) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8788 × |
38788 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and eighty-eight |
| Binary (base 2) | 1001011110000100 |
| Octal (base 8) | 113604 |
| Hexadecimal (base 16) | 9784 |
| Base 3 | 1222012121 |
| As time | 38788 seconds = 10 h 46 min 28 s |
Is 38788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38788 ÷ 2 = 19394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38788 ÷ 4 = 9697) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38788 a prime number?
No. 38788 = × 9697, so it is divisible by 2.
What are the factors of 38788?
1, 2, 4, 9697, 19394, 38788.
What is 38788 in binary?
1001011110000100 (hexadecimal 9784, octal 113604).
What is the square root of 38788?
About 196.9467, exactly 2√9697.
Is 38788 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 38788?
It is a composite number with 6 divisors.