The number 5775
5775 is a palindrome: it reads 5775 backwards too. Its prime factorisation is 3 × × 7 × 11. Divisors (24): 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175 … 5775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5775: a palindrome: it reads 5775 backwards too.
- 2
5775 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 5775 itself that is 6129, so 5775 is abundant (6129 is more than 5775). Euler's totient φ(5775) = 2400 numbers up to 5775 share no factor with it.
- 4
The digits of 5775 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5775 = 3 \times 5^{2} \times 7 \times 11 \]5775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 2400 |
| Square | 33350625 |
| Cube | 192599859375 |
| Square root | 75.993421 (= 5√231) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.775 × |
5775 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and seventy-five |
| Binary (base 2) | 1011010001111 |
| Octal (base 8) | 13217 |
| Hexadecimal (base 16) | 168F |
| Base 3 | 21220220 |
| As time | 5775 seconds = 1 h 36 min 15 s |
Is 5775 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 (5775 ÷ 3 = 1925) | 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 (5775 ÷ 5 = 1155) | 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 (5775 ÷ 7 = 825) | 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 (5775 ÷ 11 = 525) | 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 5775 a prime number?
No. 5775 = 3 × × 7 × 11, so it is divisible by 3.
What are the factors of 5775?
1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775.
What is 5775 in binary?
1011010001111 (hexadecimal 168F, octal 13217).
What is the square root of 5775?
About 75.9934, exactly 5√231.
Is 5775 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5775?
5775 is a palindrome: it reads 5775 backwards too.