The number 50250
50250 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 67. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 125, 134, 150, 201 … 50250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50250 is composite. Its prime factorisation is
- 3
The divisors add up to 127296; without 50250 itself that is 77046, so 50250 is abundant (77046 is more than 50250). Euler's totient φ(50250) = 13200 numbers up to 50250 share no factor with it.
- 4
The digits of 50250 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50250 = 2 \times 3 \times 5^{3} \times 67 \]50250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 127296 |
| Euler totient φ(n) | 13200 |
| Square | 2525062500 |
| Cube | 126884390625000 |
| Square root | 224.165118 (= 5√2010) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.025 × |
50250 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and fifty |
| Binary (base 2) | 1100010001001010 |
| Octal (base 8) | 142112 |
| Hexadecimal (base 16) | C44A |
| Base 3 | 2112221010 |
| As time | 50250 seconds = 13 h 57 min 30 s |
Is 50250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50250 ÷ 2 = 25125) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50250 ÷ 3 = 16750) | 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 (50250 ÷ 5 = 10050) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50250 ÷ 6 = 8375) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50250 ÷ 10 = 5025) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 50250 a prime number?
No. 50250 = 2 × 3 × × 67, so it is divisible by 2.
What are the factors of 50250?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 125, 134, 150, 201, 250, 335, 375, 402, 670, 750, 1005, 1675, 2010, 3350, 5025, 8375, 10050, 16750, 25125, 50250.
What is 50250 in binary?
1100010001001010 (hexadecimal C44A, octal 142112).
What is the square root of 50250?
About 224.1651, exactly 5√2010.
Is 50250 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50250?
It is a composite number with 32 divisors.