The number 67788
67788 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 269. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 67788.
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How to work it out
- 1
What is special about 67788: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 36.
- 2
67788 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 67788 itself that is 128772, so 67788 is abundant (128772 is more than 67788). Euler's totient φ(67788) = 19296 numbers up to 67788 share no factor with it.
- 4
The digits of 67788 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67788 = 2^{2} \times 3^{2} \times 7 \times 269 \]67788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 19296 |
| Square | 4595212944 |
| Cube | 311500295047872 |
| Square root | 260.361287 (= 6√1883) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7788 × |
67788 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and eighty-eight |
| Binary (base 2) | 10000100011001100 |
| Octal (base 8) | 204314 |
| Hexadecimal (base 16) | 108CC |
| Base 3 | 10102222200 |
| As time | 67788 seconds = 18 h 49 min 48 s |
Is 67788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67788 ÷ 2 = 33894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67788 ÷ 3 = 22596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67788 ÷ 4 = 16947) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67788 ÷ 6 = 11298) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67788 ÷ 7 = 9684) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67788 ÷ 9 = 7532) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (67788 ÷ 12 = 5649) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67788 a prime number?
No. 67788 = × × 7 × 269, so it is divisible by 2.
What are the factors of 67788?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 269, 538, 807, 1076, 1614, 1883, 2421, 3228, 3766, 4842, 5649, 7532, 9684, 11298, 16947, 22596, 33894, 67788.
What is 67788 in binary?
10000100011001100 (hexadecimal 108CC, octal 204314).
What is the square root of 67788?
About 260.3613, exactly 6√1883.
Is 67788 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67788?
67788 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 36.