The number 40775
40775 is a composite number with 12 divisors. Its prime factorisation is × 7 × 233. Divisors (12): 1, 5, 7, 25, 35, 175, 233, 1165, 1631, 5825, 8155, 40775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40775: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40775 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 40775 itself that is 17257, so 40775 is deficient (17257 is less than 40775). Euler's totient φ(40775) = 27840 numbers up to 40775 share no factor with it.
- 4
The digits of 40775 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40775 = 5^{2} \times 7 \times 233 \]40775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 27840 |
| Square | 1662600625 |
| Cube | 67792540484375 |
| Square root | 201.928205 (= 5√1631) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0775 × |
40775 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and seventy-five |
| Binary (base 2) | 1001111101000111 |
| Octal (base 8) | 117507 |
| Hexadecimal (base 16) | 9F47 |
| Base 3 | 2001221012 |
| As time | 40775 seconds = 11 h 19 min 35 s |
Is 40775 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 (40775 ÷ 5 = 8155) | 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 | Yes (40775 ÷ 7 = 5825) | 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 5) | 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 40775 a prime number?
No. 40775 = × 7 × 233, so it is divisible by 5.
What are the factors of 40775?
1, 5, 7, 25, 35, 175, 233, 1165, 1631, 5825, 8155, 40775.
What is 40775 in binary?
1001111101000111 (hexadecimal 9F47, octal 117507).
What is the square root of 40775?
About 201.9282, exactly 5√1631.
Is 40775 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40775?
40775 is a happy number: repeatedly adding the squares of its digits reaches 1.