The number 49986
49986 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2777. Divisors (12): 1, 2, 3, 6, 9, 18, 2777, 5554, 8331, 16662, 24993, 49986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49986 is composite. Its prime factorisation is
- 3
The divisors add up to 108342; without 49986 itself that is 58356, so 49986 is abundant (58356 is more than 49986). Euler's totient φ(49986) = 16656 numbers up to 49986 share no factor with it.
- 4
The digits of 49986 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49986 = 2 \times 3^{2} \times 2777 \]49986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108342 |
| Euler totient φ(n) | 16656 |
| Square | 2498600196 |
| Cube | 124895029397256 |
| Square root | 223.575491 (= 3√5554) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9986 × |
49986 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and eighty-six |
| Binary (base 2) | 1100001101000010 |
| Octal (base 8) | 141502 |
| Hexadecimal (base 16) | C342 |
| Base 3 | 2112120100 |
| As time | 49986 seconds = 13 h 53 min 6 s |
Is 49986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49986 ÷ 2 = 24993) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49986 ÷ 3 = 16662) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49986 ÷ 6 = 8331) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49986 ÷ 9 = 5554) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 49986 a prime number?
No. 49986 = 2 × × 2777, so it is divisible by 2.
What are the factors of 49986?
1, 2, 3, 6, 9, 18, 2777, 5554, 8331, 16662, 24993, 49986.
What is 49986 in binary?
1100001101000010 (hexadecimal C342, octal 141502).
What is the square root of 49986?
About 223.5755, exactly 3√5554.
Is 49986 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49986?
It is a composite number with 12 divisors.