The number 50025
50025 is a composite number with 24 divisors. Its prime factorisation is 3 × × 23 × 29. Divisors (24): 1, 3, 5, 15, 23, 25, 29, 69, 75, 87, 115, 145, 345, 435, 575, 667 … 50025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50025 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 50025 itself that is 39255, so 50025 is deficient (39255 is less than 50025). Euler's totient φ(50025) = 24640 numbers up to 50025 share no factor with it.
- 4
The digits of 50025 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 233 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50025 = 3 \times 5^{2} \times 23 \times 29 \]50025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 24640 |
| Square | 2502500625 |
| Cube | 125187593765625 |
| Square root | 223.662692 (= 5√2001) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 233 |
| Scientific notation | 5.0025 × |
50025 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and twenty-five |
| Binary (base 2) | 1100001101101001 |
| Octal (base 8) | 141551 |
| Hexadecimal (base 16) | C369 |
| Base 3 | 2112121210 |
| As time | 50025 seconds = 13 h 53 min 45 s |
Is 50025 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 (50025 ÷ 3 = 16675) | 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 (50025 ÷ 5 = 10005) | 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 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 50025 a prime number?
No. 50025 = 3 × × 23 × 29, so it is divisible by 3.
What are the factors of 50025?
1, 3, 5, 15, 23, 25, 29, 69, 75, 87, 115, 145, 345, 435, 575, 667, 725, 1725, 2001, 2175, 3335, 10005, 16675, 50025.
What is 50025 in binary?
1100001101101001 (hexadecimal C369, octal 141551).
What is the square root of 50025?
About 223.6627, exactly 5√2001.
Is 50025 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50025?
It is a composite number with 24 divisors.