The number 49335
49335 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 11 × 13 × 23. Divisors (32): 1, 3, 5, 11, 13, 15, 23, 33, 39, 55, 65, 69, 115, 143, 165, 195 … 49335.
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How to work it out
- 1
49335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49335 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 49335 itself that is 47433, so 49335 is deficient (47433 is less than 49335). Euler's totient φ(49335) = 21120 numbers up to 49335 share no factor with it.
- 4
The digits of 49335 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49335 = 3 \times 5 \times 11 \times 13 \times 23 \]
49335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 21120 |
| Square | 2433942225 |
| Cube | 120078539670375 |
| Square root | 222.114835 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.9335 × |
49335 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and thirty-five |
| Binary (base 2) | 1100000010110111 |
| Octal (base 8) | 140267 |
| Hexadecimal (base 16) | C0B7 |
| Base 3 | 2111200020 |
| As time | 49335 seconds = 13 h 42 min 15 s |
Is 49335 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 (49335 ÷ 3 = 16445) | 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 (49335 ÷ 5 = 9867) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49335 ÷ 11 = 4485) | 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 49335 a prime number?
No. 49335 = 3 × 5 × 11 × 13 × 23, so it is divisible by 3.
What are the factors of 49335?
1, 3, 5, 11, 13, 15, 23, 33, 39, 55, 65, 69, 115, 143, 165, 195, 253, 299, 345, 429, 715, 759, 897, 1265, 1495, 2145, 3289, 3795, 4485, 9867, 16445, 49335.
What is 49335 in binary?
1100000010110111 (hexadecimal C0B7, octal 140267).
What is the square root of 49335?
About 222.1148.
Is 49335 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49335?
It is a composite number with 32 divisors.