The number 67779
67779 is a composite number with 12 divisors. Its prime factorisation is × 17 × 443. Divisors (12): 1, 3, 9, 17, 51, 153, 443, 1329, 3987, 7531, 22593, 67779.
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How to work it out
- 1
67779 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67779 is composite. Its prime factorisation is
- 3
The divisors add up to 103896; without 67779 itself that is 36117, so 67779 is deficient (36117 is less than 67779). Euler's totient φ(67779) = 42432 numbers up to 67779 share no factor with it.
- 4
The digits of 67779 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67779 = 3^{2} \times 17 \times 443 \]67779 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103896 |
| Euler totient φ(n) | 42432 |
| Square | 4593992841 |
| Cube | 311376240770139 |
| Square root | 260.344003 (= 3√7531) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7779 × |
67779 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and seventy-nine |
| Binary (base 2) | 10000100011000011 |
| Octal (base 8) | 204303 |
| Hexadecimal (base 16) | 108C3 |
| Base 3 | 10102222100 |
| As time | 67779 seconds = 18 h 49 min 39 s |
Is 67779 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 (67779 ÷ 3 = 22593) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67779 ÷ 9 = 7531) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67779 a prime number?
No. 67779 = × 17 × 443, so it is divisible by 3.
What are the factors of 67779?
1, 3, 9, 17, 51, 153, 443, 1329, 3987, 7531, 22593, 67779.
What is 67779 in binary?
10000100011000011 (hexadecimal 108C3, octal 204303).
What is the square root of 67779?
About 260.3440, exactly 3√7531.
Is 67779 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67779?
It is a composite number with 12 divisors.