The number 67609
67609 is a composite number with 8 divisors. Its prime factorisation is 17 × 41 × 97. Divisors (8): 1, 17, 41, 97, 697, 1649, 3977, 67609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67609 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67609 is composite. Its prime factorisation is
- 3
The divisors add up to 74088; without 67609 itself that is 6479, so 67609 is deficient (6479 is less than 67609). Euler's totient φ(67609) = 61440 numbers up to 67609 share no factor with it.
- 4
The digits of 67609 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67609 = 17 \times 41 \times 97 \]
67609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74088 |
| Euler totient φ(n) | 61440 |
| Square | 4570976881 |
| Cube | 309039175947529 |
| Square root | 260.017307 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7609 × |
67609 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and nine |
| Binary (base 2) | 10000100000011001 |
| Octal (base 8) | 204031 |
| Hexadecimal (base 16) | 10819 |
| Base 3 | 10102202001 |
| As time | 67609 seconds = 18 h 46 min 49 s |
Is 67609 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67609 a prime number?
No. 67609 = 17 × 41 × 97, so it is divisible by 17.
What are the factors of 67609?
1, 17, 41, 97, 697, 1649, 3977, 67609.
What is 67609 in binary?
10000100000011001 (hexadecimal 10819, octal 204031).
What is the square root of 67609?
About 260.0173.
Is 67609 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67609?
It is a composite number with 8 divisors.