The number 49887
49887 is a composite number with 12 divisors. Its prime factorisation is × 23 × 241. Divisors (12): 1, 3, 9, 23, 69, 207, 241, 723, 2169, 5543, 16629, 49887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49887 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49887 is composite. Its prime factorisation is
- 3
The divisors add up to 75504; without 49887 itself that is 25617, so 49887 is deficient (25617 is less than 49887). Euler's totient φ(49887) = 31680 numbers up to 49887 share no factor with it.
- 4
The digits of 49887 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49887 = 3^{2} \times 23 \times 241 \]49887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75504 |
| Euler totient φ(n) | 31680 |
| Square | 2488712769 |
| Cube | 124154413907103 |
| Square root | 223.353979 (= 3√5543) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9887 × |
49887 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighty-seven |
| Binary (base 2) | 1100001011011111 |
| Octal (base 8) | 141337 |
| Hexadecimal (base 16) | C2DF |
| Base 3 | 2112102200 |
| As time | 49887 seconds = 13 h 51 min 27 s |
Is 49887 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 (49887 ÷ 3 = 16629) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49887 ÷ 9 = 5543) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49887 a prime number?
No. 49887 = × 23 × 241, so it is divisible by 3.
What are the factors of 49887?
1, 3, 9, 23, 69, 207, 241, 723, 2169, 5543, 16629, 49887.
What is 49887 in binary?
1100001011011111 (hexadecimal C2DF, octal 141337).
What is the square root of 49887?
About 223.3540, exactly 3√5543.
Is 49887 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49887?
It is a composite number with 12 divisors.