The number 6780
6780 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 113. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452 … 6780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6780 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6780 is composite. Its prime factorisation is
- 3
The divisors add up to 19152; without 6780 itself that is 12372, so 6780 is abundant (12372 is more than 6780). Euler's totient φ(6780) = 1792 numbers up to 6780 share no factor with it.
- 4
The digits of 6780 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6780 = 2^{2} \times 3 \times 5 \times 113 \]6780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19152 |
| Euler totient φ(n) | 1792 |
| Square | 45968400 |
| Cube | 311665752000 |
| Square root | 82.340755 (= 2√1695) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.78 × |
6780 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eighty |
| Binary (base 2) | 1101001111100 |
| Octal (base 8) | 15174 |
| Hexadecimal (base 16) | 1A7C |
| Base 3 | 100022010 |
| As time | 6780 seconds = 1 h 53 min 0 s |
Is 6780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6780 ÷ 2 = 3390) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6780 ÷ 3 = 2260) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6780 ÷ 4 = 1695) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6780 ÷ 5 = 1356) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6780 ÷ 6 = 1130) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6780 ÷ 10 = 678) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6780 ÷ 12 = 565) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6780 a prime number?
No. 6780 = × 3 × 5 × 113, so it is divisible by 2.
What are the factors of 6780?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780.
What is 6780 in binary?
1101001111100 (hexadecimal 1A7C, octal 15174).
What is the square root of 6780?
About 82.3408, exactly 2√1695.
Is 6780 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6780?
It is a composite number with 24 divisors.