The number 49988
49988 is a composite number with 6 divisors. Its prime factorisation is × 12497. Divisors (6): 1, 2, 4, 12497, 24994, 49988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49988 is composite. Its prime factorisation is
- 3
The divisors add up to 87486; without 49988 itself that is 37498, so 49988 is deficient (37498 is less than 49988). Euler's totient φ(49988) = 24992 numbers up to 49988 share no factor with it.
- 4
The digits of 49988 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49988 = 2^{2} \times 12497 \]49988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 87486 |
| Euler totient φ(n) | 24992 |
| Square | 2498800144 |
| Cube | 124910021598272 |
| Square root | 223.579963 (= 2√12497) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9988 × |
49988 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and eighty-eight |
| Binary (base 2) | 1100001101000100 |
| Octal (base 8) | 141504 |
| Hexadecimal (base 16) | C344 |
| Base 3 | 2112120102 |
| As time | 49988 seconds = 13 h 53 min 8 s |
Is 49988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49988 ÷ 2 = 24994) | 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 | Yes (49988 ÷ 4 = 12497) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49988 a prime number?
No. 49988 = × 12497, so it is divisible by 2.
What are the factors of 49988?
1, 2, 4, 12497, 24994, 49988.
What is 49988 in binary?
1100001101000100 (hexadecimal C344, octal 141504).
What is the square root of 49988?
About 223.5800, exactly 2√12497.
Is 49988 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 49988?
It is a composite number with 6 divisors.