The number 38488
38488 is a composite number with 16 divisors. Its prime factorisation is × 17 × 283. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 283, 566, 1132, 2264, 4811, 9622, 19244, 38488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38488 is composite. Its prime factorisation is
- 3
The divisors add up to 76680; without 38488 itself that is 38192, so 38488 is deficient (38192 is less than 38488). Euler's totient φ(38488) = 18048 numbers up to 38488 share no factor with it.
- 4
The digits of 38488 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38488 = 2^{3} \times 17 \times 283 \]38488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76680 |
| Euler totient φ(n) | 18048 |
| Square | 1481326144 |
| Cube | 57013280630272 |
| Square root | 196.183587 (= 2√9622) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8488 × |
38488 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and eighty-eight |
| Binary (base 2) | 1001011001011000 |
| Octal (base 8) | 113130 |
| Hexadecimal (base 16) | 9658 |
| Base 3 | 1221210111 |
| As time | 38488 seconds = 10 h 41 min 28 s |
Is 38488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38488 ÷ 2 = 19244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38488 ÷ 4 = 9622) | 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 | No (remainder 4) | 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 | Yes (38488 ÷ 8 = 4811) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38488 a prime number?
No. 38488 = × 17 × 283, so it is divisible by 2.
What are the factors of 38488?
1, 2, 4, 8, 17, 34, 68, 136, 283, 566, 1132, 2264, 4811, 9622, 19244, 38488.
What is 38488 in binary?
1001011001011000 (hexadecimal 9658, octal 113130).
What is the square root of 38488?
About 196.1836, exactly 2√9622.
Is 38488 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38488?
It is a composite number with 16 divisors.