The number 38144
38144 is a composite number with 18 divisors. Its prime factorisation is × 149. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 596, 1192, 2384, 4768, 9536 … 38144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38144 is composite. Its prime factorisation is
- 3
The divisors add up to 76650; without 38144 itself that is 38506, so 38144 is abundant (38506 is more than 38144). Euler's totient φ(38144) = 18944 numbers up to 38144 share no factor with it.
- 4
The digits of 38144 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38144 = 2^{8} \times 149 \]38144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 76650 |
| Euler totient φ(n) | 18944 |
| Square | 1454964736 |
| Cube | 55498174889984 |
| Square root | 195.304890 (= 16√149) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 3.8144 × |
38144 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and forty-four |
| Binary (base 2) | 1001010100000000 |
| Octal (base 8) | 112400 |
| Hexadecimal (base 16) | 9500 |
| Base 3 | 1221022202 |
| As time | 38144 seconds = 10 h 35 min 44 s |
Is 38144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38144 ÷ 2 = 19072) | 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 (38144 ÷ 4 = 9536) | 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 | 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 (38144 ÷ 8 = 4768) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38144 a prime number?
No. 38144 = × 149, so it is divisible by 2.
What are the factors of 38144?
1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 596, 1192, 2384, 4768, 9536, 19072, 38144.
What is 38144 in binary?
1001010100000000 (hexadecimal 9500, octal 112400).
What is the square root of 38144?
About 195.3049, exactly 16√149.
Is 38144 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38144?
It is a composite number with 18 divisors.