The number 6777
6777 is a composite number with 8 divisors. Its prime factorisation is × 251. Divisors (8): 1, 3, 9, 27, 251, 753, 2259, 6777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6777: a Harshad number: divisible by its digit sum 27.
- 2
6777 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 6777 itself that is 3303, so 6777 is deficient (3303 is less than 6777). Euler's totient φ(6777) = 4500 numbers up to 6777 share no factor with it.
- 4
The digits of 6777 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6777 = 3^{3} \times 251 \]6777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 4500 |
| Square | 45927729 |
| Cube | 311252219433 |
| Square root | 82.322536 (= 3√753) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.777 × |
6777 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and seventy-seven |
| Binary (base 2) | 1101001111001 |
| Octal (base 8) | 15171 |
| Hexadecimal (base 16) | 1A79 |
| Base 3 | 100022000 |
| As time | 6777 seconds = 1 h 52 min 57 s |
Is 6777 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 (6777 ÷ 3 = 2259) | 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 2) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6777 ÷ 9 = 753) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 6777 a prime number?
No. 6777 = × 251, so it is divisible by 3.
What are the factors of 6777?
1, 3, 9, 27, 251, 753, 2259, 6777.
What is 6777 in binary?
1101001111001 (hexadecimal 1A79, octal 15171).
What is the square root of 6777?
About 82.3225, exactly 3√753.
Is 6777 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6777?
6777 is a Harshad number: divisible by its digit sum 27.