The number 38748
38748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3229. Divisors (12): 1, 2, 3, 4, 6, 12, 3229, 6458, 9687, 12916, 19374, 38748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38748 is composite. Its prime factorisation is
- 3
The divisors add up to 90440; without 38748 itself that is 51692, so 38748 is abundant (51692 is more than 38748). Euler's totient φ(38748) = 12912 numbers up to 38748 share no factor with it.
- 4
The digits of 38748 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38748 = 2^{2} \times 3 \times 3229 \]38748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90440 |
| Euler totient φ(n) | 12912 |
| Square | 1501407504 |
| Cube | 58176537964992 |
| Square root | 196.845117 (= 2√9687) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8748 × |
38748 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and forty-eight |
| Binary (base 2) | 1001011101011100 |
| Octal (base 8) | 113534 |
| Hexadecimal (base 16) | 975C |
| Base 3 | 1222011010 |
| As time | 38748 seconds = 10 h 45 min 48 s |
Is 38748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38748 ÷ 2 = 19374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38748 ÷ 3 = 12916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38748 ÷ 4 = 9687) | 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 | Yes (38748 ÷ 6 = 6458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38748 ÷ 12 = 3229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38748 a prime number?
No. 38748 = × 3 × 3229, so it is divisible by 2.
What are the factors of 38748?
1, 2, 3, 4, 6, 12, 3229, 6458, 9687, 12916, 19374, 38748.
What is 38748 in binary?
1001011101011100 (hexadecimal 975C, octal 113534).
What is the square root of 38748?
About 196.8451, exactly 2√9687.
Is 38748 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38748?
It is a composite number with 12 divisors.