The number 67689
67689 is a composite number with 16 divisors. Its prime factorisation is × 23 × 109. Divisors (16): 1, 3, 9, 23, 27, 69, 109, 207, 327, 621, 981, 2507, 2943, 7521, 22563, 67689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67689 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67689 is composite. Its prime factorisation is
- 3
The divisors add up to 105600; without 67689 itself that is 37911, so 67689 is deficient (37911 is less than 67689). Euler's totient φ(67689) = 42768 numbers up to 67689 share no factor with it.
- 4
The digits of 67689 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 249 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67689 = 3^{3} \times 23 \times 109 \]67689 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105600 |
| Euler totient φ(n) | 42768 |
| Square | 4581800721 |
| Cube | 310137509003769 |
| Square root | 260.171098 (= 3√7521) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 249 |
| Scientific notation | 6.7689 × |
67689 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and eighty-nine |
| Binary (base 2) | 10000100001101001 |
| Octal (base 8) | 204151 |
| Hexadecimal (base 16) | 10869 |
| Base 3 | 10102212000 |
| As time | 67689 seconds = 18 h 48 min 9 s |
Is 67689 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 (67689 ÷ 3 = 22563) | 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 6) | 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 (67689 ÷ 9 = 7521) | 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 6) | 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 67689 a prime number?
No. 67689 = × 23 × 109, so it is divisible by 3.
What are the factors of 67689?
1, 3, 9, 23, 27, 69, 109, 207, 327, 621, 981, 2507, 2943, 7521, 22563, 67689.
What is 67689 in binary?
10000100001101001 (hexadecimal 10869, octal 204151).
What is the square root of 67689?
About 260.1711, exactly 3√7521.
Is 67689 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67689?
It is a composite number with 16 divisors.