The number 50022
50022 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 397. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 397, 794, 1191, 2382 … 50022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50022: a Harshad number: divisible by its digit sum 9.
- 2
50022 is composite. Its prime factorisation is
- 3
The divisors add up to 124176; without 50022 itself that is 74154, so 50022 is abundant (74154 is more than 50022). Euler's totient φ(50022) = 14256 numbers up to 50022 share no factor with it.
- 4
The digits of 50022 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50022 = 2 \times 3^{2} \times 7 \times 397 \]50022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124176 |
| Euler totient φ(n) | 14256 |
| Square | 2502200484 |
| Cube | 125165072610648 |
| Square root | 223.655986 (= 3√5558) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0022 × |
50022 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and twenty-two |
| Binary (base 2) | 1100001101100110 |
| Octal (base 8) | 141546 |
| Hexadecimal (base 16) | C366 |
| Base 3 | 2112121200 |
| As time | 50022 seconds = 13 h 53 min 42 s |
Is 50022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50022 ÷ 2 = 25011) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50022 ÷ 3 = 16674) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50022 ÷ 6 = 8337) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50022 ÷ 7 = 7146) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50022 ÷ 9 = 5558) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 50022 a prime number?
No. 50022 = 2 × × 7 × 397, so it is divisible by 2.
What are the factors of 50022?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 397, 794, 1191, 2382, 2779, 3573, 5558, 7146, 8337, 16674, 25011, 50022.
What is 50022 in binary?
1100001101100110 (hexadecimal C366, octal 141546).
What is the square root of 50022?
About 223.6560, exactly 3√5558.
Is 50022 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 50022?
50022 is a Harshad number: divisible by its digit sum 9.