The number 3509
3509 is a composite number with 6 divisors. Its prime factorisation is Ć 29. Divisors (6): 1, 11, 29, 121, 319, 3509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3509 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3509 is composite. Its prime factorisation is
- 3
The divisors add up to 3990; without 3509 itself that is 481, so 3509 is deficient (481 is less than 3509). Euler's totient Ļ(3509) = 3080 numbers up to 3509 share no factor with it.
- 4
The digits of 3509 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3509 = 11^{2} \times 29 \]3509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3990 |
| Euler totient Ļ(n) | 3080 |
| Square | 12313081 |
| Cube | 43206601229 |
| Square root | 59.236813 (= 11ā29) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.509 Ć |
3509 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and nine |
| Roman numerals | MMMDIX |
| Binary (base 2) | 110110110101 |
| Octal (base 8) | 6665 |
| Hexadecimal (base 16) | DB5 |
| Base 3 | 11210222 |
| As time | 3509 seconds = 58 min 29 s |
Is 3509 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 8) | 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 | Yes (3509 Ć· 11 = 319) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3509 a prime number?
No. 3509 = Ć 29, so it is divisible by 11.
What are the factors of 3509?
1, 11, 29, 121, 319, 3509.
What is 3509 in binary?
110110110101 (hexadecimal DB5, octal 6665).
What is the square root of 3509?
About 59.2368, exactly 11ā29.
What is 3509 in Roman numerals?
MMMDIX.
Is 3509 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3509?
It is a composite number with 6 divisors.