The number 38838
38838 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6473. Divisors (8): 1, 2, 3, 6, 6473, 12946, 19419, 38838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38838 is composite. Its prime factorisation is
- 3
The divisors add up to 77688; without 38838 itself that is 38850, so 38838 is abundant (38850 is more than 38838). Euler's totient φ(38838) = 12944 numbers up to 38838 share no factor with it.
- 4
The digits of 38838 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38838 = 2 \times 3 \times 6473 \]
38838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77688 |
| Euler totient φ(n) | 12944 |
| Square | 1508390244 |
| Cube | 58582860296472 |
| Square root | 197.073590 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8838 × |
38838 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and thirty-eight |
| Binary (base 2) | 1001011110110110 |
| Octal (base 8) | 113666 |
| Hexadecimal (base 16) | 97B6 |
| Base 3 | 1222021110 |
| As time | 38838 seconds = 10 h 47 min 18 s |
Is 38838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38838 ÷ 2 = 19419) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38838 ÷ 3 = 12946) | 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 | Yes (38838 ÷ 6 = 6473) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38838 a prime number?
No. 38838 = 2 × 3 × 6473, so it is divisible by 2.
What are the factors of 38838?
1, 2, 3, 6, 6473, 12946, 19419, 38838.
What is 38838 in binary?
1001011110110110 (hexadecimal 97B6, octal 113666).
What is the square root of 38838?
About 197.0736.
Is 38838 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38838?
It is a composite number with 8 divisors.