The number 50625
50625 is a perfect power () and a perfect square (225²). Its prime factorisation is × . Divisors (25): 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 625 … 50625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50625: a perfect power (); a perfect square (225²).
- 2
50625 is composite. Its prime factorisation is
- 3
The divisors add up to 94501; without 50625 itself that is 43876, so 50625 is deficient (43876 is less than 50625). Euler's totient φ(50625) = 27000 numbers up to 50625 share no factor with it.
- 4
The digits of 50625 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50625 = 3^{4} \times 5^{4} \]50625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 25 |
| Sum of divisors | 94501 |
| Euler totient φ(n) | 27000 |
| Square | 2562890625 |
| Cube | 129746337890625 |
| Square root | 225 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 5.0625 × |
| Perfect power |
50625 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand six hundred and twenty-five |
| Binary (base 2) | 1100010111000001 |
| Octal (base 8) | 142701 |
| Hexadecimal (base 16) | C5C1 |
| Base 3 | 2120110000 |
| As time | 50625 seconds = 14 h 3 min 45 s |
Is 50625 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 (50625 ÷ 3 = 16875) | 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 (50625 ÷ 5 = 10125) | 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 (50625 ÷ 9 = 5625) | 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 3) | 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 50625 a prime number?
No. 50625 = × , so it is divisible by 3.
What are the factors of 50625?
1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 625, 675, 1125, 1875, 2025, 3375, 5625, 10125, 16875, 50625.
What is 50625 in binary?
1100010111000001 (hexadecimal C5C1, octal 142701).
What is the square root of 50625?
225, because 225 × 225 = 50625.
Is 50625 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50625?
50625 is a perfect power (); a perfect square (225²).