The number 50268
50268 is a composite number with 24 divisors. Its prime factorisation is × 3 × 59 × 71. Divisors (24): 1, 2, 3, 4, 6, 12, 59, 71, 118, 142, 177, 213, 236, 284, 354, 426 … 50268.
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How to work it out
- 1
What is special about 50268: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50268 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 50268 itself that is 70692, so 50268 is abundant (70692 is more than 50268). Euler's totient φ(50268) = 16240 numbers up to 50268 share no factor with it.
- 4
The digits of 50268 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50268 = 2^{2} \times 3 \times 59 \times 71 \]50268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 16240 |
| Square | 2526871824 |
| Cube | 127020792848832 |
| Square root | 224.205263 (= 2√12567) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0268 × |
50268 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and sixty-eight |
| Binary (base 2) | 1100010001011100 |
| Octal (base 8) | 142134 |
| Hexadecimal (base 16) | C45C |
| Base 3 | 2112221210 |
| As time | 50268 seconds = 13 h 57 min 48 s |
Is 50268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50268 ÷ 2 = 25134) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50268 ÷ 3 = 16756) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50268 ÷ 4 = 12567) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50268 ÷ 6 = 8378) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50268 ÷ 12 = 4189) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50268 a prime number?
No. 50268 = × 3 × 59 × 71, so it is divisible by 2.
What are the factors of 50268?
1, 2, 3, 4, 6, 12, 59, 71, 118, 142, 177, 213, 236, 284, 354, 426, 708, 852, 4189, 8378, 12567, 16756, 25134, 50268.
What is 50268 in binary?
1100010001011100 (hexadecimal C45C, octal 142134).
What is the square root of 50268?
About 224.2053, exactly 2√12567.
Is 50268 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50268?
50268 is a happy number: repeatedly adding the squares of its digits reaches 1.