The number 49755
49755 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 31 × 107. Divisors (16): 1, 3, 5, 15, 31, 93, 107, 155, 321, 465, 535, 1605, 3317, 9951, 16585, 49755.
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How to work it out
- 1
49755 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49755 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 49755 itself that is 33189, so 49755 is deficient (33189 is less than 49755). Euler's totient φ(49755) = 25440 numbers up to 49755 share no factor with it.
- 4
The digits of 49755 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49755 = 3 \times 5 \times 31 \times 107 \]
49755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 25440 |
| Square | 2475560025 |
| Cube | 123171489043875 |
| Square root | 223.058288 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 202 |
| Scientific notation | 4.9755 × |
49755 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and fifty-five |
| Binary (base 2) | 1100001001011011 |
| Octal (base 8) | 141133 |
| Hexadecimal (base 16) | C25B |
| Base 3 | 2112020210 |
| As time | 49755 seconds = 13 h 49 min 15 s |
Is 49755 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 (49755 ÷ 3 = 16585) | 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 | Yes (49755 ÷ 5 = 9951) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 49755 a prime number?
No. 49755 = 3 × 5 × 31 × 107, so it is divisible by 3.
What are the factors of 49755?
1, 3, 5, 15, 31, 93, 107, 155, 321, 465, 535, 1605, 3317, 9951, 16585, 49755.
What is 49755 in binary?
1100001001011011 (hexadecimal C25B, octal 141133).
What is the square root of 49755?
About 223.0583.
Is 49755 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49755?
It is a composite number with 16 divisors.