The number 50016
50016 is a composite number with 24 divisors. Its prime factorisation is × 3 × 521. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 521, 1042, 1563, 2084 … 50016.
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How to work it out
- 1
What is special about 50016: a Harshad number: divisible by its digit sum 12.
- 2
50016 is composite. Its prime factorisation is
- 3
The divisors add up to 131544; without 50016 itself that is 81528, so 50016 is abundant (81528 is more than 50016). Euler's totient φ(50016) = 16640 numbers up to 50016 share no factor with it.
- 4
The digits of 50016 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50016 = 2^{5} \times 3 \times 521 \]50016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131544 |
| Euler totient φ(n) | 16640 |
| Square | 2501600256 |
| Cube | 125120038404096 |
| Square root | 223.642572 (= 4√3126) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0016 × |
50016 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and sixteen |
| Binary (base 2) | 1100001101100000 |
| Octal (base 8) | 141540 |
| Hexadecimal (base 16) | C360 |
| Base 3 | 2112121110 |
| As time | 50016 seconds = 13 h 53 min 36 s |
Is 50016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50016 ÷ 2 = 25008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50016 ÷ 3 = 16672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50016 ÷ 4 = 12504) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50016 ÷ 6 = 8336) | 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 | Yes (50016 ÷ 8 = 6252) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50016 ÷ 12 = 4168) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50016 a prime number?
No. 50016 = × 3 × 521, so it is divisible by 2.
What are the factors of 50016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 521, 1042, 1563, 2084, 3126, 4168, 6252, 8336, 12504, 16672, 25008, 50016.
What is 50016 in binary?
1100001101100000 (hexadecimal C360, octal 141540).
What is the square root of 50016?
About 223.6426, exactly 4√3126.
Is 50016 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50016?
50016 is a Harshad number: divisible by its digit sum 12.