The number 50049
50049 is a composite number with 12 divisors. Its prime factorisation is × 67 × 83. Divisors (12): 1, 3, 9, 67, 83, 201, 249, 603, 747, 5561, 16683, 50049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50049 is composite. Its prime factorisation is
- 3
The divisors add up to 74256; without 50049 itself that is 24207, so 50049 is deficient (24207 is less than 50049). Euler's totient φ(50049) = 32472 numbers up to 50049 share no factor with it.
- 4
The digits of 50049 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50049 = 3^{2} \times 67 \times 83 \]50049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74256 |
| Euler totient φ(n) | 32472 |
| Square | 2504902401 |
| Cube | 125367860267649 |
| Square root | 223.716338 (= 3√5561) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0049 × |
50049 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and forty-nine |
| Binary (base 2) | 1100001110000001 |
| Octal (base 8) | 141601 |
| Hexadecimal (base 16) | C381 |
| Base 3 | 2112122200 |
| As time | 50049 seconds = 13 h 54 min 9 s |
Is 50049 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 (50049 ÷ 3 = 16683) | 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 4) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50049 ÷ 9 = 5561) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50049 a prime number?
No. 50049 = × 67 × 83, so it is divisible by 3.
What are the factors of 50049?
1, 3, 9, 67, 83, 201, 249, 603, 747, 5561, 16683, 50049.
What is 50049 in binary?
1100001110000001 (hexadecimal C381, octal 141601).
What is the square root of 50049?
About 223.7163, exactly 3√5561.
Is 50049 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50049?
It is a composite number with 12 divisors.