The number 38648
38648 is a composite number with 8 divisors. Its prime factorisation is × 4831. Divisors (8): 1, 2, 4, 8, 4831, 9662, 19324, 38648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38648 is composite. Its prime factorisation is
- 3
The divisors add up to 72480; without 38648 itself that is 33832, so 38648 is deficient (33832 is less than 38648). Euler's totient φ(38648) = 19320 numbers up to 38648 share no factor with it.
- 4
The digits of 38648 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38648 = 2^{3} \times 4831 \]38648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72480 |
| Euler totient φ(n) | 19320 |
| Square | 1493667904 |
| Cube | 57727277153792 |
| Square root | 196.590946 (= 2√9662) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8648 × |
38648 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and forty-eight |
| Binary (base 2) | 1001011011111000 |
| Octal (base 8) | 113370 |
| Hexadecimal (base 16) | 96F8 |
| Base 3 | 1222000102 |
| As time | 38648 seconds = 10 h 44 min 8 s |
Is 38648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38648 ÷ 2 = 19324) | 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 (38648 ÷ 4 = 9662) | 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 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 | Yes (38648 ÷ 8 = 4831) | 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 5) | 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 38648 a prime number?
No. 38648 = × 4831, so it is divisible by 2.
What are the factors of 38648?
1, 2, 4, 8, 4831, 9662, 19324, 38648.
What is 38648 in binary?
1001011011111000 (hexadecimal 96F8, octal 113370).
What is the square root of 38648?
About 196.5909, exactly 2√9662.
Is 38648 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38648?
It is a composite number with 8 divisors.