The number 38738
38738 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2767. Divisors (8): 1, 2, 7, 14, 2767, 5534, 19369, 38738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38738 is composite. Its prime factorisation is
- 3
The divisors add up to 66432; without 38738 itself that is 27694, so 38738 is deficient (27694 is less than 38738). Euler's totient φ(38738) = 16596 numbers up to 38738 share no factor with it.
- 4
The digits of 38738 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38738 = 2 \times 7 \times 2767 \]
38738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66432 |
| Euler totient φ(n) | 16596 |
| Square | 1500632644 |
| Cube | 58131507363272 |
| Square root | 196.819714 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8738 × |
38738 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and thirty-eight |
| Binary (base 2) | 1001011101010010 |
| Octal (base 8) | 113522 |
| Hexadecimal (base 16) | 9752 |
| Base 3 | 1222010202 |
| As time | 38738 seconds = 10 h 45 min 38 s |
Is 38738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38738 ÷ 2 = 19369) | 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 | No (remainder 2) | 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 | Yes (38738 ÷ 7 = 5534) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38738 a prime number?
No. 38738 = 2 × 7 × 2767, so it is divisible by 2.
What are the factors of 38738?
1, 2, 7, 14, 2767, 5534, 19369, 38738.
What is 38738 in binary?
1001011101010010 (hexadecimal 9752, octal 113522).
What is the square root of 38738?
About 196.8197.
Is 38738 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38738?
It is a composite number with 8 divisors.