The number 67989
67989 is a composite number with 8 divisors. Its prime factorisation is 3 × 131 × 173. Divisors (8): 1, 3, 131, 173, 393, 519, 22663, 67989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67989 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67989 is composite. Its prime factorisation is
- 3
The divisors add up to 91872; without 67989 itself that is 23883, so 67989 is deficient (23883 is less than 67989). Euler's totient φ(67989) = 44720 numbers up to 67989 share no factor with it.
- 4
The digits of 67989 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67989 = 3 \times 131 \times 173 \]
67989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91872 |
| Euler totient φ(n) | 44720 |
| Square | 4622504121 |
| Cube | 314279432682669 |
| Square root | 260.747004 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7989 × |
67989 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eighty-nine |
| Binary (base 2) | 10000100110010101 |
| Octal (base 8) | 204625 |
| Hexadecimal (base 16) | 10995 |
| Base 3 | 10110021010 |
| As time | 67989 seconds = 18 h 53 min 9 s |
Is 67989 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 (67989 ÷ 3 = 22663) | 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 5) | 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 3) | 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 9) | 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 67989 a prime number?
No. 67989 = 3 × 131 × 173, so it is divisible by 3.
What are the factors of 67989?
1, 3, 131, 173, 393, 519, 22663, 67989.
What is 67989 in binary?
10000100110010101 (hexadecimal 10995, octal 204625).
What is the square root of 67989?
About 260.7470.
Is 67989 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 67989?
It is a composite number with 8 divisors.