The number 38250
38250 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 17. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51 … 38250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38250: a Harshad number: divisible by its digit sum 18.
- 2
38250 is composite. Its prime factorisation is
- 3
The divisors add up to 109512; without 38250 itself that is 71262, so 38250 is abundant (71262 is more than 38250). Euler's totient φ(38250) = 9600 numbers up to 38250 share no factor with it.
- 4
The digits of 38250 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38250 = 2 \times 3^{2} \times 5^{3} \times 17 \]38250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 109512 |
| Euler totient φ(n) | 9600 |
| Square | 1463062500 |
| Cube | 55962140625000 |
| Square root | 195.576072 (= 15√170) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.825 × |
38250 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and fifty |
| Binary (base 2) | 1001010101101010 |
| Octal (base 8) | 112552 |
| Hexadecimal (base 16) | 956A |
| Base 3 | 1221110200 |
| As time | 38250 seconds = 10 h 37 min 30 s |
Is 38250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38250 ÷ 2 = 19125) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38250 ÷ 3 = 12750) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38250 ÷ 5 = 7650) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38250 ÷ 6 = 6375) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38250 ÷ 9 = 4250) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38250 ÷ 10 = 3825) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38250 a prime number?
No. 38250 = 2 × × × 17, so it is divisible by 2.
What are the factors of 38250?
1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 125, 150, 153, 170, 225, 250, 255, 306, 375, 425, 450, 510, 750, 765, 850, 1125, 1275, 1530, 2125, 2250, 2550, 3825, 4250, 6375, 7650, 12750, 19125, 38250.
What is 38250 in binary?
1001010101101010 (hexadecimal 956A, octal 112552).
What is the square root of 38250?
About 195.5761, exactly 15√170.
Is 38250 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38250?
38250 is a Harshad number: divisible by its digit sum 18.