The number 40755
40755 is a triangular number: 1 + 2 + … + 285 = 40755. Its prime factorisation is 3 × 5 × 11 × 13 × 19. Divisors (32): 1, 3, 5, 11, 13, 15, 19, 33, 39, 55, 57, 65, 95, 143, 165, 195 … 40755.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40755: a triangular number: 1 + 2 + … + 285 = 40755.
- 2
40755 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 40755 itself that is 39885, so 40755 is deficient (39885 is less than 40755). Euler's totient φ(40755) = 17280 numbers up to 40755 share no factor with it.
- 4
The digits of 40755 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40755 = 3 \times 5 \times 11 \times 13 \times 19 \]
40755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 17280 |
| Square | 1660970025 |
| Cube | 67692833368875 |
| Square root | 201.878676 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0755 × |
40755 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and fifty-five |
| Binary (base 2) | 1001111100110011 |
| Octal (base 8) | 117463 |
| Hexadecimal (base 16) | 9F33 |
| Base 3 | 2001220110 |
| As time | 40755 seconds = 11 h 19 min 15 s |
Is 40755 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 (40755 ÷ 3 = 13585) | 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 (40755 ÷ 5 = 8151) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (40755 ÷ 11 = 3705) | 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 40755 a prime number?
No. 40755 = 3 × 5 × 11 × 13 × 19, so it is divisible by 3.
What are the factors of 40755?
1, 3, 5, 11, 13, 15, 19, 33, 39, 55, 57, 65, 95, 143, 165, 195, 209, 247, 285, 429, 627, 715, 741, 1045, 1235, 2145, 2717, 3135, 3705, 8151, 13585, 40755.
What is 40755 in binary?
1001111100110011 (hexadecimal 9F33, octal 117463).
What is the square root of 40755?
About 201.8787.
Is 40755 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40755?
40755 is a triangular number: 1 + 2 + … + 285 = 40755.