The number 40509
40509 is a composite number with 12 divisors. Its prime factorisation is × 7 × 643. Divisors (12): 1, 3, 7, 9, 21, 63, 643, 1929, 4501, 5787, 13503, 40509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40509 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40509 is composite. Its prime factorisation is
- 3
The divisors add up to 66976; without 40509 itself that is 26467, so 40509 is deficient (26467 is less than 40509). Euler's totient φ(40509) = 23112 numbers up to 40509 share no factor with it.
- 4
The digits of 40509 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40509 = 3^{2} \times 7 \times 643 \]40509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66976 |
| Euler totient φ(n) | 23112 |
| Square | 1640979081 |
| Cube | 66474421592229 |
| Square root | 201.268477 (= 3√4501) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0509 × |
40509 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and nine |
| Binary (base 2) | 1001111000111101 |
| Octal (base 8) | 117075 |
| Hexadecimal (base 16) | 9E3D |
| Base 3 | 2001120100 |
| As time | 40509 seconds = 11 h 15 min 9 s |
Is 40509 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 (40509 ÷ 3 = 13503) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (40509 ÷ 7 = 5787) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40509 ÷ 9 = 4501) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40509 a prime number?
No. 40509 = × 7 × 643, so it is divisible by 3.
What are the factors of 40509?
1, 3, 7, 9, 21, 63, 643, 1929, 4501, 5787, 13503, 40509.
What is 40509 in binary?
1001111000111101 (hexadecimal 9E3D, octal 117075).
What is the square root of 40509?
About 201.2685, exactly 3√4501.
Is 40509 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40509?
It is a composite number with 12 divisors.