The number 49982
49982 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 373. Divisors (8): 1, 2, 67, 134, 373, 746, 24991, 49982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49982 is composite. Its prime factorisation is
- 3
The divisors add up to 76296; without 49982 itself that is 26314, so 49982 is deficient (26314 is less than 49982). Euler's totient φ(49982) = 24552 numbers up to 49982 share no factor with it.
- 4
The digits of 49982 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49982 = 2 \times 67 \times 373 \]
49982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76296 |
| Euler totient φ(n) | 24552 |
| Square | 2498200324 |
| Cube | 124865048594168 |
| Square root | 223.566545 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.9982 × |
49982 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and eighty-two |
| Binary (base 2) | 1100001100111110 |
| Octal (base 8) | 141476 |
| Hexadecimal (base 16) | C33E |
| Base 3 | 2112120012 |
| As time | 49982 seconds = 13 h 53 min 2 s |
Is 49982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49982 ÷ 2 = 24991) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49982 a prime number?
No. 49982 = 2 × 67 × 373, so it is divisible by 2.
What are the factors of 49982?
1, 2, 67, 134, 373, 746, 24991, 49982.
What is 49982 in binary?
1100001100111110 (hexadecimal C33E, octal 141476).
What is the square root of 49982?
About 223.5665.
Is 49982 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49982?
It is a composite number with 8 divisors.