The number 50325
50325 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 61. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 55, 61, 75, 165, 183, 275, 305, 671, 825 … 50325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50325: a Harshad number: divisible by its digit sum 15.
- 2
50325 is composite. Its prime factorisation is
- 3
The divisors add up to 92256; without 50325 itself that is 41931, so 50325 is deficient (41931 is less than 50325). Euler's totient φ(50325) = 24000 numbers up to 50325 share no factor with it.
- 4
The digits of 50325 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50325 = 3 \times 5^{2} \times 11 \times 61 \]50325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92256 |
| Euler totient φ(n) | 24000 |
| Square | 2532605625 |
| Cube | 127453378078125 |
| Square root | 224.332343 (= 5√2013) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0325 × |
50325 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and twenty-five |
| Binary (base 2) | 1100010010010101 |
| Octal (base 8) | 142225 |
| Hexadecimal (base 16) | C495 |
| Base 3 | 2120000220 |
| As time | 50325 seconds = 13 h 58 min 45 s |
Is 50325 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 (50325 ÷ 3 = 16775) | 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 (50325 ÷ 5 = 10065) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (50325 ÷ 11 = 4575) | 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 50325 a prime number?
No. 50325 = 3 × × 11 × 61, so it is divisible by 3.
What are the factors of 50325?
1, 3, 5, 11, 15, 25, 33, 55, 61, 75, 165, 183, 275, 305, 671, 825, 915, 1525, 2013, 3355, 4575, 10065, 16775, 50325.
What is 50325 in binary?
1100010010010101 (hexadecimal C495, octal 142225).
What is the square root of 50325?
About 224.3323, exactly 5√2013.
Is 50325 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 50325?
50325 is a Harshad number: divisible by its digit sum 15.