The number 50084
50084 is a composite number with 12 divisors. Its prime factorisation is × 19 × 659. Divisors (12): 1, 2, 4, 19, 38, 76, 659, 1318, 2636, 12521, 25042, 50084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50084 is composite. Its prime factorisation is
- 3
The divisors add up to 92400; without 50084 itself that is 42316, so 50084 is deficient (42316 is less than 50084). Euler's totient φ(50084) = 23688 numbers up to 50084 share no factor with it.
- 4
The digits of 50084 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50084 = 2^{2} \times 19 \times 659 \]50084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92400 |
| Euler totient φ(n) | 23688 |
| Square | 2508407056 |
| Cube | 125631058992704 |
| Square root | 223.794549 (= 2√12521) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0084 × |
50084 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and eighty-four |
| Binary (base 2) | 1100001110100100 |
| Octal (base 8) | 141644 |
| Hexadecimal (base 16) | C3A4 |
| Base 3 | 2112200222 |
| As time | 50084 seconds = 13 h 54 min 44 s |
Is 50084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50084 ÷ 2 = 25042) | 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 | Yes (50084 ÷ 4 = 12521) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50084 a prime number?
No. 50084 = × 19 × 659, so it is divisible by 2.
What are the factors of 50084?
1, 2, 4, 19, 38, 76, 659, 1318, 2636, 12521, 25042, 50084.
What is 50084 in binary?
1100001110100100 (hexadecimal C3A4, octal 141644).
What is the square root of 50084?
About 223.7945, exactly 2√12521.
Is 50084 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 50084?
It is a composite number with 12 divisors.