The number 65025
65025 is a perfect square (255²). Its prime factorisation is × × . Divisors (27): 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 289, 425 … 65025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 65025: a perfect square (255²).
- 2
65025 is composite. Its prime factorisation is
- 3
The divisors add up to 123721; without 65025 itself that is 58696, so 65025 is deficient (58696 is less than 65025). Euler's totient φ(65025) = 32640 numbers up to 65025 share no factor with it.
- 4
The digits of 65025 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65025 = 3^{2} \times 5^{2} \times 17^{2} \]65025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 123721 |
| Euler totient φ(n) | 32640 |
| Square | 4228250625 |
| Cube | 274941996890625 |
| Square root | 255 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.5025 × |
| Perfect power |
65025 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and twenty-five |
| Binary (base 2) | 1111111000000001 |
| Octal (base 8) | 177001 |
| Hexadecimal (base 16) | FE01 |
| Base 3 | 10022012100 |
| As time | 65025 seconds = 18 h 3 min 45 s |
Is 65025 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 (65025 ÷ 3 = 21675) | 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 (65025 ÷ 5 = 13005) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (65025 ÷ 9 = 7225) | 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 4) | 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 65025 a prime number?
No. 65025 = × × , so it is divisible by 3.
What are the factors of 65025?
1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 289, 425, 765, 867, 1275, 1445, 2601, 3825, 4335, 7225, 13005, 21675, 65025.
What is 65025 in binary?
1111111000000001 (hexadecimal FE01, octal 177001).
What is the square root of 65025?
255, because 255 × 255 = 65025.
Is 65025 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 65025?
65025 is a perfect square (255²).