The number 50006
50006 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2273. Divisors (8): 1, 2, 11, 22, 2273, 4546, 25003, 50006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50006: a Harshad number: divisible by its digit sum 11.
- 2
50006 is composite. Its prime factorisation is
- 3
The divisors add up to 81864; without 50006 itself that is 31858, so 50006 is deficient (31858 is less than 50006). Euler's totient φ(50006) = 22720 numbers up to 50006 share no factor with it.
- 4
The digits of 50006 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50006 = 2 \times 11 \times 2273 \]
50006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81864 |
| Euler totient φ(n) | 22720 |
| Square | 2500600036 |
| Cube | 125045005400216 |
| Square root | 223.620214 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0006 × |
50006 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and six |
| Binary (base 2) | 1100001101010110 |
| Octal (base 8) | 141526 |
| Hexadecimal (base 16) | C356 |
| Base 3 | 2112121002 |
| As time | 50006 seconds = 13 h 53 min 26 s |
Is 50006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50006 ÷ 2 = 25003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 2) | 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 | Yes (50006 ÷ 11 = 4546) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50006 a prime number?
No. 50006 = 2 × 11 × 2273, so it is divisible by 2.
What are the factors of 50006?
1, 2, 11, 22, 2273, 4546, 25003, 50006.
What is 50006 in binary?
1100001101010110 (hexadecimal C356, octal 141526).
What is the square root of 50006?
About 223.6202.
Is 50006 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 50006?
50006 is a Harshad number: divisible by its digit sum 11.