The number 609
609 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 29. Divisors (8): 1, 3, 7, 21, 29, 87, 203, 609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
609 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
609 is composite. Its prime factorisation is
- 3
The divisors add up to 960; without 609 itself that is 351, so 609 is deficient (351 is less than 609). Euler's totient φ(609) = 336 numbers up to 609 share no factor with it.
- 4
The digits of 609 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 609 = 3 \times 7 \times 29 \]
609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 960 |
| Euler totient φ(n) | 336 |
| Square | 370881 |
| Cube | 225866529 |
| Square root | 24.677925 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 6.09 × |
609 in other forms
| Form | Value |
|---|---|
| In words | six hundred and nine |
| Roman numerals | DCIX |
| Binary (base 2) | 1001100001 |
| Octal (base 8) | 1141 |
| Hexadecimal (base 16) | 261 |
| Base 3 | 211120 |
| As time | 609 seconds = 10 min 9 s |
Is 609 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 (609 ÷ 3 = 203) | 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 (609 ÷ 7 = 87) | 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 | No (remainder 6) | 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 4) | 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 609 a prime number?
No. 609 = 3 × 7 × 29, so it is divisible by 3.
What are the factors of 609?
1, 3, 7, 21, 29, 87, 203, 609.
What is 609 in binary?
1001100001 (hexadecimal 261, octal 1141).
What is the square root of 609?
About 24.6779.
What is 609 in Roman numerals?
DCIX.
Is 609 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 609?
It is a composite number with 8 divisors.