The number 67780
67780 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3389. Divisors (12): 1, 2, 4, 5, 10, 20, 3389, 6778, 13556, 16945, 33890, 67780.
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How to work it out
- 1
67780 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67780 is composite. Its prime factorisation is
- 3
The divisors add up to 142380; without 67780 itself that is 74600, so 67780 is abundant (74600 is more than 67780). Euler's totient φ(67780) = 27104 numbers up to 67780 share no factor with it.
- 4
The digits of 67780 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67780 = 2^{2} \times 5 \times 3389 \]67780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142380 |
| Euler totient φ(n) | 27104 |
| Square | 4594128400 |
| Cube | 311390022952000 |
| Square root | 260.345924 (= 2√16945) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.778 × |
67780 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and eighty |
| Binary (base 2) | 10000100011000100 |
| Octal (base 8) | 204304 |
| Hexadecimal (base 16) | 108C4 |
| Base 3 | 10102222101 |
| As time | 67780 seconds = 18 h 49 min 40 s |
Is 67780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67780 ÷ 2 = 33890) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67780 ÷ 4 = 16945) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67780 ÷ 5 = 13556) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67780 ÷ 10 = 6778) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67780 a prime number?
No. 67780 = × 5 × 3389, so it is divisible by 2.
What are the factors of 67780?
1, 2, 4, 5, 10, 20, 3389, 6778, 13556, 16945, 33890, 67780.
What is 67780 in binary?
10000100011000100 (hexadecimal 108C4, octal 204304).
What is the square root of 67780?
About 260.3459, exactly 2√16945.
Is 67780 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67780?
It is a composite number with 12 divisors.