The number 49938
49938 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 29 × 41. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 29, 41, 42, 58, 82, 87, 123, 174, 203 … 49938.
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How to work it out
- 1
49938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49938 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 49938 itself that is 71022, so 49938 is abundant (71022 is more than 49938). Euler's totient φ(49938) = 13440 numbers up to 49938 share no factor with it.
- 4
The digits of 49938 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49938 = 2 \times 3 \times 7 \times 29 \times 41 \]
49938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 13440 |
| Square | 2493803844 |
| Cube | 124535576361672 |
| Square root | 223.468119 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9938 × |
49938 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and thirty-eight |
| Binary (base 2) | 1100001100010010 |
| Octal (base 8) | 141422 |
| Hexadecimal (base 16) | C312 |
| Base 3 | 2112111120 |
| As time | 49938 seconds = 13 h 52 min 18 s |
Is 49938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49938 ÷ 2 = 24969) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49938 ÷ 3 = 16646) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49938 ÷ 6 = 8323) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49938 ÷ 7 = 7134) | 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 | No (remainder 6) | 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 9) | 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 49938 a prime number?
No. 49938 = 2 × 3 × 7 × 29 × 41, so it is divisible by 2.
What are the factors of 49938?
1, 2, 3, 6, 7, 14, 21, 29, 41, 42, 58, 82, 87, 123, 174, 203, 246, 287, 406, 574, 609, 861, 1189, 1218, 1722, 2378, 3567, 7134, 8323, 16646, 24969, 49938.
What is 49938 in binary?
1100001100010010 (hexadecimal C312, octal 141422).
What is the square root of 49938?
About 223.4681.
Is 49938 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49938?
It is a composite number with 32 divisors.