The number 38444
38444 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1373. Divisors (12): 1, 2, 4, 7, 14, 28, 1373, 2746, 5492, 9611, 19222, 38444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38444 is composite. Its prime factorisation is
- 3
The divisors add up to 76944; without 38444 itself that is 38500, so 38444 is abundant (38500 is more than 38444). Euler's totient φ(38444) = 16464 numbers up to 38444 share no factor with it.
- 4
The digits of 38444 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38444 = 2^{2} \times 7 \times 1373 \]38444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76944 |
| Euler totient φ(n) | 16464 |
| Square | 1477941136 |
| Cube | 56817969032384 |
| Square root | 196.071416 (= 2√9611) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8444 × |
38444 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and forty-four |
| Binary (base 2) | 1001011000101100 |
| Octal (base 8) | 113054 |
| Hexadecimal (base 16) | 962C |
| Base 3 | 1221201212 |
| As time | 38444 seconds = 10 h 40 min 44 s |
Is 38444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38444 ÷ 2 = 19222) | 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 (38444 ÷ 4 = 9611) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38444 ÷ 7 = 5492) | 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 5) | 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 10) | 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 38444 a prime number?
No. 38444 = × 7 × 1373, so it is divisible by 2.
What are the factors of 38444?
1, 2, 4, 7, 14, 28, 1373, 2746, 5492, 9611, 19222, 38444.
What is 38444 in binary?
1001011000101100 (hexadecimal 962C, octal 113054).
What is the square root of 38444?
About 196.0714, exactly 2√9611.
Is 38444 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38444?
It is a composite number with 12 divisors.