The number 49833
49833 is a composite number with 18 divisors. Its prime factorisation is × × 113. Divisors (18): 1, 3, 7, 9, 21, 49, 63, 113, 147, 339, 441, 791, 1017, 2373, 5537, 7119 … 49833.
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How to work it out
- 1
49833 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49833 is composite. Its prime factorisation is
- 3
The divisors add up to 84474; without 49833 itself that is 34641, so 49833 is deficient (34641 is less than 49833). Euler's totient φ(49833) = 28224 numbers up to 49833 share no factor with it.
- 4
The digits of 49833 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 264 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49833 = 3^{2} \times 7^{2} \times 113 \]49833 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 84474 |
| Euler totient φ(n) | 28224 |
| Square | 2483327889 |
| Cube | 123751678692537 |
| Square root | 223.233062 (= 21√113) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 264 |
| Scientific notation | 4.9833 × |
49833 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and thirty-three |
| Binary (base 2) | 1100001010101001 |
| Octal (base 8) | 141251 |
| Hexadecimal (base 16) | C2A9 |
| Base 3 | 2112100200 |
| As time | 49833 seconds = 13 h 50 min 33 s |
Is 49833 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 (49833 ÷ 3 = 16611) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49833 ÷ 7 = 7119) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49833 ÷ 9 = 5537) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49833 a prime number?
No. 49833 = × × 113, so it is divisible by 3.
What are the factors of 49833?
1, 3, 7, 9, 21, 49, 63, 113, 147, 339, 441, 791, 1017, 2373, 5537, 7119, 16611, 49833.
What is 49833 in binary?
1100001010101001 (hexadecimal C2A9, octal 141251).
What is the square root of 49833?
About 223.2331, exactly 21√113.
Is 49833 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49833?
It is a composite number with 18 divisors.