The number 38744
38744 is a composite number with 16 divisors. Its prime factorisation is × 29 × 167. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 167, 232, 334, 668, 1336, 4843, 9686, 19372, 38744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38744 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 38744 itself that is 36856, so 38744 is deficient (36856 is less than 38744). Euler's totient φ(38744) = 18592 numbers up to 38744 share no factor with it.
- 4
The digits of 38744 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38744 = 2^{3} \times 29 \times 167 \]38744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 18592 |
| Square | 1501097536 |
| Cube | 58158522934784 |
| Square root | 196.834956 (= 2√9686) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8744 × |
38744 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and forty-four |
| Binary (base 2) | 1001011101011000 |
| Octal (base 8) | 113530 |
| Hexadecimal (base 16) | 9758 |
| Base 3 | 1222010222 |
| As time | 38744 seconds = 10 h 45 min 44 s |
Is 38744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38744 ÷ 2 = 19372) | 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 (38744 ÷ 4 = 9686) | 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 6) | 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 (38744 ÷ 8 = 4843) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 38744 a prime number?
No. 38744 = × 29 × 167, so it is divisible by 2.
What are the factors of 38744?
1, 2, 4, 8, 29, 58, 116, 167, 232, 334, 668, 1336, 4843, 9686, 19372, 38744.
What is 38744 in binary?
1001011101011000 (hexadecimal 9758, octal 113530).
What is the square root of 38744?
About 196.8350, exactly 2√9686.
Is 38744 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38744?
It is a composite number with 16 divisors.