The number 38025
38025 is a perfect square (195²). Its prime factorisation is × × . Divisors (27): 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 169, 195, 225, 325 … 38025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38025: a perfect square (195²).
- 2
38025 is composite. Its prime factorisation is
- 3
The divisors add up to 73749; without 38025 itself that is 35724, so 38025 is deficient (35724 is less than 38025). Euler's totient φ(38025) = 18720 numbers up to 38025 share no factor with it.
- 4
The digits of 38025 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38025 = 3^{2} \times 5^{2} \times 13^{2} \]38025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 73749 |
| Euler totient φ(n) | 18720 |
| Square | 1445900625 |
| Cube | 54980371265625 |
| Square root | 195 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.8025 × |
| Perfect power |
38025 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and twenty-five |
| Binary (base 2) | 1001010010001001 |
| Octal (base 8) | 112211 |
| Hexadecimal (base 16) | 9489 |
| Base 3 | 1221011100 |
| As time | 38025 seconds = 10 h 33 min 45 s |
Is 38025 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38025 ÷ 3 = 12675) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38025 ÷ 5 = 7605) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38025 ÷ 9 = 4225) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38025 a prime number?
No. 38025 = × × , so it is divisible by 3.
What are the factors of 38025?
1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 169, 195, 225, 325, 507, 585, 845, 975, 1521, 2535, 2925, 4225, 7605, 12675, 38025.
What is 38025 in binary?
1001010010001001 (hexadecimal 9489, octal 112211).
What is the square root of 38025?
195, because 195 × 195 = 38025.
Is 38025 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38025?
38025 is a perfect square (195²).