The number 7775
7775 is a composite number with 6 divisors. Its prime factorisation is Ć 311. Divisors (6): 1, 5, 25, 311, 1555, 7775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7775 is composite. Its prime factorisation is
- 3
The divisors add up to 9672; without 7775 itself that is 1897, so 7775 is deficient (1897 is less than 7775). Euler's totient Ļ(7775) = 6200 numbers up to 7775 share no factor with it.
- 4
The digits of 7775 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7775 = 5^{2} \times 311 \]7775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9672 |
| Euler totient Ļ(n) | 6200 |
| Square | 60450625 |
| Cube | 470003609375 |
| Square root | 88.175960 (= 5ā311) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.775 Ć |
7775 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and seventy-five |
| Binary (base 2) | 1111001011111 |
| Octal (base 8) | 17137 |
| Hexadecimal (base 16) | 1E5F |
| Base 3 | 101122222 |
| As time | 7775 seconds = 2 h 9 min 35 s |
Is 7775 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 | No (remainder 2) | 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 (7775 Ć· 5 = 1555) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7775 a prime number?
No. 7775 = Ć 311, so it is divisible by 5.
What are the factors of 7775?
1, 5, 25, 311, 1555, 7775.
What is 7775 in binary?
1111001011111 (hexadecimal 1E5F, octal 17137).
What is the square root of 7775?
About 88.1760, exactly 5ā311.
Is 7775 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7775?
It is a composite number with 6 divisors.