The number 49884
49884 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4157. Divisors (12): 1, 2, 3, 4, 6, 12, 4157, 8314, 12471, 16628, 24942, 49884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49884 is composite. Its prime factorisation is
- 3
The divisors add up to 116424; without 49884 itself that is 66540, so 49884 is abundant (66540 is more than 49884). Euler's totient φ(49884) = 16624 numbers up to 49884 share no factor with it.
- 4
The digits of 49884 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49884 = 2^{2} \times 3 \times 4157 \]49884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116424 |
| Euler totient φ(n) | 16624 |
| Square | 2488413456 |
| Cube | 124132016839104 |
| Square root | 223.347263 (= 2√12471) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9884 × |
49884 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighty-four |
| Binary (base 2) | 1100001011011100 |
| Octal (base 8) | 141334 |
| Hexadecimal (base 16) | C2DC |
| Base 3 | 2112102120 |
| As time | 49884 seconds = 13 h 51 min 24 s |
Is 49884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49884 ÷ 2 = 24942) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49884 ÷ 3 = 16628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49884 ÷ 4 = 12471) | 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 | Yes (49884 ÷ 6 = 8314) | 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 4) | 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 4) | 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 | Yes (49884 ÷ 12 = 4157) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49884 a prime number?
No. 49884 = × 3 × 4157, so it is divisible by 2.
What are the factors of 49884?
1, 2, 3, 4, 6, 12, 4157, 8314, 12471, 16628, 24942, 49884.
What is 49884 in binary?
1100001011011100 (hexadecimal C2DC, octal 141334).
What is the square root of 49884?
About 223.3473, exactly 2√12471.
Is 49884 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49884?
It is a composite number with 12 divisors.