The number 38844
38844 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 83. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 83, 117 … 38844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38844 is composite. Its prime factorisation is
- 3
The divisors add up to 107016; without 38844 itself that is 68172, so 38844 is abundant (68172 is more than 38844). Euler's totient φ(38844) = 11808 numbers up to 38844 share no factor with it.
- 4
The digits of 38844 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38844 = 2^{2} \times 3^{2} \times 13 \times 83 \]38844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 107016 |
| Euler totient φ(n) | 11808 |
| Square | 1508856336 |
| Cube | 58610015515584 |
| Square root | 197.088812 (= 6√1079) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8844 × |
38844 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and forty-four |
| Binary (base 2) | 1001011110111100 |
| Octal (base 8) | 113674 |
| Hexadecimal (base 16) | 97BC |
| Base 3 | 1222021200 |
| As time | 38844 seconds = 10 h 47 min 24 s |
Is 38844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38844 ÷ 2 = 19422) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38844 ÷ 3 = 12948) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38844 ÷ 4 = 9711) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38844 ÷ 6 = 6474) | 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 | Yes (38844 ÷ 9 = 4316) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38844 ÷ 12 = 3237) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38844 a prime number?
No. 38844 = × × 13 × 83, so it is divisible by 2.
What are the factors of 38844?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 83, 117, 156, 166, 234, 249, 332, 468, 498, 747, 996, 1079, 1494, 2158, 2988, 3237, 4316, 6474, 9711, 12948, 19422, 38844.
What is 38844 in binary?
1001011110111100 (hexadecimal 97BC, octal 113674).
What is the square root of 38844?
About 197.0888, exactly 6√1079.
Is 38844 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38844?
It is a composite number with 36 divisors.