The number 50175
50175 is a composite number with 18 divisors. Its prime factorisation is × × 223. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 223, 225, 669, 1115, 2007, 3345, 5575, 10035 … 50175.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50175: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50175 is composite. Its prime factorisation is
- 3
The divisors add up to 90272; without 50175 itself that is 40097, so 50175 is deficient (40097 is less than 50175). Euler's totient φ(50175) = 26640 numbers up to 50175 share no factor with it.
- 4
The digits of 50175 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50175 = 3^{2} \times 5^{2} \times 223 \]50175 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 90272 |
| Euler totient φ(n) | 26640 |
| Square | 2517530625 |
| Cube | 126317099109375 |
| Square root | 223.997768 (= 15√223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0175 × |
50175 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and seventy-five |
| Binary (base 2) | 1100001111111111 |
| Octal (base 8) | 141777 |
| Hexadecimal (base 16) | C3FF |
| Base 3 | 2112211100 |
| As time | 50175 seconds = 13 h 56 min 15 s |
Is 50175 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 (50175 ÷ 3 = 16725) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50175 ÷ 5 = 10035) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50175 ÷ 9 = 5575) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50175 a prime number?
No. 50175 = × × 223, so it is divisible by 3.
What are the factors of 50175?
1, 3, 5, 9, 15, 25, 45, 75, 223, 225, 669, 1115, 2007, 3345, 5575, 10035, 16725, 50175.
What is 50175 in binary?
1100001111111111 (hexadecimal C3FF, octal 141777).
What is the square root of 50175?
About 223.9978, exactly 15√223.
Is 50175 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50175?
50175 is a happy number: repeatedly adding the squares of its digits reaches 1.