The number 3609
3609 is a composite number with 6 divisors. Its prime factorisation is × 401. Divisors (6): 1, 3, 9, 401, 1203, 3609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3609 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3609 is composite. Its prime factorisation is
- 3
The divisors add up to 5226; without 3609 itself that is 1617, so 3609 is deficient (1617 is less than 3609). Euler's totient φ(3609) = 2400 numbers up to 3609 share no factor with it.
- 4
The digits of 3609 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3609 = 3^{2} \times 401 \]3609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5226 |
| Euler totient φ(n) | 2400 |
| Square | 13024881 |
| Cube | 47006795529 |
| Square root | 60.074953 (= 3√401) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.609 × |
3609 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and nine |
| Roman numerals | MMMDCIX |
| Binary (base 2) | 111000011001 |
| Octal (base 8) | 7031 |
| Hexadecimal (base 16) | E19 |
| Base 3 | 11221200 |
| As time | 3609 seconds = 1 h 0 min 9 s |
Is 3609 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 (3609 ÷ 3 = 1203) | 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 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3609 ÷ 9 = 401) | 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 1) | 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 3609 a prime number?
No. 3609 = × 401, so it is divisible by 3.
What are the factors of 3609?
1, 3, 9, 401, 1203, 3609.
What is 3609 in binary?
111000011001 (hexadecimal E19, octal 7031).
What is the square root of 3609?
About 60.0750, exactly 3√401.
What is 3609 in Roman numerals?
MMMDCIX.
Is 3609 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3609?
It is a composite number with 6 divisors.