The number 6772
6772 is a composite number with 6 divisors. Its prime factorisation is × 1693. Divisors (6): 1, 2, 4, 1693, 3386, 6772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6772 is composite. Its prime factorisation is
- 3
The divisors add up to 11858; without 6772 itself that is 5086, so 6772 is deficient (5086 is less than 6772). Euler's totient φ(6772) = 3384 numbers up to 6772 share no factor with it.
- 4
The digits of 6772 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6772 = 2^{2} \times 1693 \]6772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11858 |
| Euler totient φ(n) | 3384 |
| Square | 45859984 |
| Cube | 310563811648 |
| Square root | 82.292162 (= 2√1693) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.772 × |
6772 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and seventy-two |
| Binary (base 2) | 1101001110100 |
| Octal (base 8) | 15164 |
| Hexadecimal (base 16) | 1A74 |
| Base 3 | 100021211 |
| As time | 6772 seconds = 1 h 52 min 52 s |
Is 6772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6772 ÷ 2 = 3386) | 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 (6772 ÷ 4 = 1693) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 6772 a prime number?
No. 6772 = × 1693, so it is divisible by 2.
What are the factors of 6772?
1, 2, 4, 1693, 3386, 6772.
What is 6772 in binary?
1101001110100 (hexadecimal 1A74, octal 15164).
What is the square root of 6772?
About 82.2922, exactly 2√1693.
Is 6772 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6772?
It is a composite number with 6 divisors.