The number 8775
8775 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225 … 8775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8775: a Harshad number: divisible by its digit sum 27.
- 2
8775 is composite. Its prime factorisation is
- 3
The divisors add up to 17360; without 8775 itself that is 8585, so 8775 is deficient (8585 is less than 8775). Euler's totient φ(8775) = 4320 numbers up to 8775 share no factor with it.
- 4
The digits of 8775 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8775 = 3^{3} \times 5^{2} \times 13 \]8775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 17360 |
| Euler totient φ(n) | 4320 |
| Square | 77000625 |
| Cube | 675680484375 |
| Square root | 93.674970 (= 15√39) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.775 × |
8775 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and seventy-five |
| Binary (base 2) | 10001001000111 |
| Octal (base 8) | 21107 |
| Hexadecimal (base 16) | 2247 |
| Base 3 | 110001000 |
| As time | 8775 seconds = 2 h 26 min 15 s |
Is 8775 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 (8775 ÷ 3 = 2925) | 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 (8775 ÷ 5 = 1755) | 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 4) | 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 | Yes (8775 ÷ 9 = 975) | 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 8) | 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 8775 a prime number?
No. 8775 = × × 13, so it is divisible by 3.
What are the factors of 8775?
1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775.
What is 8775 in binary?
10001001000111 (hexadecimal 2247, octal 21107).
What is the square root of 8775?
About 93.6750, exactly 15√39.
Is 8775 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8775?
8775 is a Harshad number: divisible by its digit sum 27.