The number 4509
4509 is a composite number with 8 divisors. Its prime factorisation is × 167. Divisors (8): 1, 3, 9, 27, 167, 501, 1503, 4509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4509 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4509 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 4509 itself that is 2211, so 4509 is deficient (2211 is less than 4509). Euler's totient φ(4509) = 2988 numbers up to 4509 share no factor with it.
- 4
The digits of 4509 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4509 = 3^{3} \times 167 \]4509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 2988 |
| Square | 20331081 |
| Cube | 91672844229 |
| Square root | 67.149088 (= 3√501) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.509 × |
4509 in other forms
| Form | Value |
|---|---|
| In words | four thousand five hundred and nine |
| Binary (base 2) | 1000110011101 |
| Octal (base 8) | 10635 |
| Hexadecimal (base 16) | 119D |
| Base 3 | 20012000 |
| As time | 4509 seconds = 1 h 15 min 9 s |
Is 4509 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 (4509 ÷ 3 = 1503) | 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4509 ÷ 9 = 501) | 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 10) | 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 4509 a prime number?
No. 4509 = × 167, so it is divisible by 3.
What are the factors of 4509?
1, 3, 9, 27, 167, 501, 1503, 4509.
What is 4509 in binary?
1000110011101 (hexadecimal 119D, octal 10635).
What is the square root of 4509?
About 67.1491, exactly 3√501.
Is 4509 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4509?
It is a composite number with 8 divisors.