The number 50001
50001 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2381. Divisors (8): 1, 3, 7, 21, 2381, 7143, 16667, 50001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50001 is composite. Its prime factorisation is
- 3
The divisors add up to 76224; without 50001 itself that is 26223, so 50001 is deficient (26223 is less than 50001). Euler's totient φ(50001) = 28560 numbers up to 50001 share no factor with it.
- 4
The digits of 50001 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50001 = 3 \times 7 \times 2381 \]
50001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76224 |
| Euler totient φ(n) | 28560 |
| Square | 2500100001 |
| Cube | 125007500150001 |
| Square root | 223.609034 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.0001 × |
50001 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and one |
| Binary (base 2) | 1100001101010001 |
| Octal (base 8) | 141521 |
| Hexadecimal (base 16) | C351 |
| Base 3 | 2112120220 |
| As time | 50001 seconds = 13 h 53 min 21 s |
Is 50001 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 (50001 ÷ 3 = 16667) | 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 | No (remainder 1) | 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 | Yes (50001 ÷ 7 = 7143) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 50001 a prime number?
No. 50001 = 3 × 7 × 2381, so it is divisible by 3.
What are the factors of 50001?
1, 3, 7, 21, 2381, 7143, 16667, 50001.
What is 50001 in binary?
1100001101010001 (hexadecimal C351, octal 141521).
What is the square root of 50001?
About 223.6090.
Is 50001 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 50001?
It is a composite number with 8 divisors.