The number 67389
67389 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3209. Divisors (8): 1, 3, 7, 21, 3209, 9627, 22463, 67389.
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How to work it out
- 1
What is special about 67389: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67389 is composite. Its prime factorisation is
- 3
The divisors add up to 102720; without 67389 itself that is 35331, so 67389 is deficient (35331 is less than 67389). Euler's totient φ(67389) = 38496 numbers up to 67389 share no factor with it.
- 4
The digits of 67389 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67389 = 3 \times 7 \times 3209 \]
67389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 102720 |
| Euler totient φ(n) | 38496 |
| Square | 4541277321 |
| Cube | 306032137384869 |
| Square root | 259.593914 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7389 × |
67389 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and eighty-nine |
| Binary (base 2) | 10000011100111101 |
| Octal (base 8) | 203475 |
| Hexadecimal (base 16) | 1073D |
| Base 3 | 10102102220 |
| As time | 67389 seconds = 18 h 43 min 9 s |
Is 67389 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 (67389 ÷ 3 = 22463) | 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 (67389 ÷ 7 = 9627) | 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 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 3) | 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 67389 a prime number?
No. 67389 = 3 × 7 × 3209, so it is divisible by 3.
What are the factors of 67389?
1, 3, 7, 21, 3209, 9627, 22463, 67389.
What is 67389 in binary?
10000011100111101 (hexadecimal 1073D, octal 203475).
What is the square root of 67389?
About 259.5939.
Is 67389 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67389?
67389 is a happy number: repeatedly adding the squares of its digits reaches 1.