The number 50083
50083 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 157. Divisors (8): 1, 11, 29, 157, 319, 1727, 4553, 50083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50083 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50083 is composite. Its prime factorisation is
- 3
The divisors add up to 56880; without 50083 itself that is 6797, so 50083 is deficient (6797 is less than 50083). Euler's totient φ(50083) = 43680 numbers up to 50083 share no factor with it.
- 4
The digits of 50083 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50083 = 11 \times 29 \times 157 \]
50083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56880 |
| Euler totient φ(n) | 43680 |
| Square | 2508306889 |
| Cube | 125623533921787 |
| Square root | 223.792314 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0083 × |
50083 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and eighty-three |
| Binary (base 2) | 1100001110100011 |
| Octal (base 8) | 141643 |
| Hexadecimal (base 16) | C3A3 |
| Base 3 | 2112200221 |
| As time | 50083 seconds = 13 h 54 min 43 s |
Is 50083 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (50083 ÷ 11 = 4553) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50083 a prime number?
No. 50083 = 11 × 29 × 157, so it is divisible by 11.
What are the factors of 50083?
1, 11, 29, 157, 319, 1727, 4553, 50083.
What is 50083 in binary?
1100001110100011 (hexadecimal C3A3, octal 141643).
What is the square root of 50083?
About 223.7923.
Is 50083 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50083?
It is a composite number with 8 divisors.