The number 40767
40767 is a composite number with 8 divisors. Its prime factorisation is 3 × 107 × 127. Divisors (8): 1, 3, 107, 127, 321, 381, 13589, 40767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40767 is composite. Its prime factorisation is
- 3
The divisors add up to 55296; without 40767 itself that is 14529, so 40767 is deficient (14529 is less than 40767). Euler's totient φ(40767) = 26712 numbers up to 40767 share no factor with it.
- 4
The digits of 40767 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40767 = 3 \times 107 \times 127 \]
40767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55296 |
| Euler totient φ(n) | 26712 |
| Square | 1661948289 |
| Cube | 67752645897663 |
| Square root | 201.908395 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 199 |
| Scientific notation | 4.0767 × |
40767 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and sixty-seven |
| Binary (base 2) | 1001111100111111 |
| Octal (base 8) | 117477 |
| Hexadecimal (base 16) | 9F3F |
| Base 3 | 2001220220 |
| As time | 40767 seconds = 11 h 19 min 27 s |
Is 40767 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 (40767 ÷ 3 = 13589) | 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 | No (remainder 2) | 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 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 40767 a prime number?
No. 40767 = 3 × 107 × 127, so it is divisible by 3.
What are the factors of 40767?
1, 3, 107, 127, 321, 381, 13589, 40767.
What is 40767 in binary?
1001111100111111 (hexadecimal 9F3F, octal 117477).
What is the square root of 40767?
About 201.9084.
Is 40767 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40767?
It is a composite number with 8 divisors.