The number 6770
6770 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 677. Divisors (8): 1, 2, 5, 10, 677, 1354, 3385, 6770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6770 is composite. Its prime factorisation is
- 3
The divisors add up to 12204; without 6770 itself that is 5434, so 6770 is deficient (5434 is less than 6770). Euler's totient φ(6770) = 2704 numbers up to 6770 share no factor with it.
- 4
The digits of 6770 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6770 = 2 \times 5 \times 677 \]
6770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12204 |
| Euler totient φ(n) | 2704 |
| Square | 45832900 |
| Cube | 310288733000 |
| Square root | 82.280010 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.77 × |
6770 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and seventy |
| Binary (base 2) | 1101001110010 |
| Octal (base 8) | 15162 |
| Hexadecimal (base 16) | 1A72 |
| Base 3 | 100021202 |
| As time | 6770 seconds = 1 h 52 min 50 s |
Is 6770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6770 ÷ 2 = 3385) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6770 ÷ 5 = 1354) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6770 ÷ 10 = 677) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6770 a prime number?
No. 6770 = 2 × 5 × 677, so it is divisible by 2.
What are the factors of 6770?
1, 2, 5, 10, 677, 1354, 3385, 6770.
What is 6770 in binary?
1101001110010 (hexadecimal 1A72, octal 15162).
What is the square root of 6770?
About 82.2800.
Is 6770 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6770?
It is a composite number with 8 divisors.