The number 9775
9775 is a composite number with 12 divisors. Its prime factorisation is × 17 × 23. Divisors (12): 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9775 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 9775 itself that is 3617, so 9775 is deficient (3617 is less than 9775). Euler's totient φ(9775) = 7040 numbers up to 9775 share no factor with it.
- 4
The digits of 9775 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9775 = 5^{2} \times 17 \times 23 \]9775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 7040 |
| Square | 95550625 |
| Cube | 934007359375 |
| Square root | 98.868600 (= 5√391) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.775 × |
9775 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-five |
| Binary (base 2) | 10011000101111 |
| Octal (base 8) | 23057 |
| Hexadecimal (base 16) | 262F |
| Base 3 | 111102001 |
| As time | 9775 seconds = 2 h 42 min 55 s |
Is 9775 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 1) | 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 (9775 ÷ 5 = 1955) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9775 a prime number?
No. 9775 = × 17 × 23, so it is divisible by 5.
What are the factors of 9775?
1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775.
What is 9775 in binary?
10011000101111 (hexadecimal 262F, octal 23057).
What is the square root of 9775?
About 98.8686, exactly 5√391.
Is 9775 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9775?
It is a composite number with 12 divisors.