The number 50982
50982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 293. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 293, 586, 879, 1758, 8497, 16994, 25491, 50982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50982 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 50982 itself that is 54858, so 50982 is abundant (54858 is more than 50982). Euler's totient φ(50982) = 16352 numbers up to 50982 share no factor with it.
- 4
The digits of 50982 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50982 = 2 \times 3 \times 29 \times 293 \]
50982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 16352 |
| Square | 2599164324 |
| Cube | 132510595566168 |
| Square root | 225.791940 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0982 × |
50982 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and eighty-two |
| Binary (base 2) | 1100011100100110 |
| Octal (base 8) | 143446 |
| Hexadecimal (base 16) | C726 |
| Base 3 | 2120221020 |
| As time | 50982 seconds = 14 h 9 min 42 s |
Is 50982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50982 ÷ 2 = 25491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50982 ÷ 3 = 16994) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50982 ÷ 6 = 8497) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50982 a prime number?
No. 50982 = 2 × 3 × 29 × 293, so it is divisible by 2.
What are the factors of 50982?
1, 2, 3, 6, 29, 58, 87, 174, 293, 586, 879, 1758, 8497, 16994, 25491, 50982.
What is 50982 in binary?
1100011100100110 (hexadecimal C726, octal 143446).
What is the square root of 50982?
About 225.7919.
Is 50982 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 50982?
It is a composite number with 16 divisors.