The number 49665
49665 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 43. Divisors (32): 1, 3, 5, 7, 11, 15, 21, 33, 35, 43, 55, 77, 105, 129, 165, 215 … 49665.
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How to work it out
- 1
49665 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49665 is composite. Its prime factorisation is
- 3
The divisors add up to 101376; without 49665 itself that is 51711, so 49665 is abundant (51711 is more than 49665). Euler's totient φ(49665) = 20160 numbers up to 49665 share no factor with it.
- 4
The digits of 49665 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49665 = 3 \times 5 \times 7 \times 11 \times 43 \]
49665 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 101376 |
| Euler totient φ(n) | 20160 |
| Square | 2466612225 |
| Cube | 122504296154625 |
| Square root | 222.856456 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9665 × |
49665 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and sixty-five |
| Binary (base 2) | 1100001000000001 |
| Octal (base 8) | 141001 |
| Hexadecimal (base 16) | C201 |
| Base 3 | 2112010110 |
| As time | 49665 seconds = 13 h 47 min 45 s |
Is 49665 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 (49665 ÷ 3 = 16555) | 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 | Yes (49665 ÷ 5 = 9933) | 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 (49665 ÷ 7 = 7095) | 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 | 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 | Yes (49665 ÷ 11 = 4515) | 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 49665 a prime number?
No. 49665 = 3 × 5 × 7 × 11 × 43, so it is divisible by 3.
What are the factors of 49665?
1, 3, 5, 7, 11, 15, 21, 33, 35, 43, 55, 77, 105, 129, 165, 215, 231, 301, 385, 473, 645, 903, 1155, 1419, 1505, 2365, 3311, 4515, 7095, 9933, 16555, 49665.
What is 49665 in binary?
1100001000000001 (hexadecimal C201, octal 141001).
What is the square root of 49665?
About 222.8565.
Is 49665 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49665?
It is a composite number with 32 divisors.