The number 6764
6764 is a composite number with 12 divisors. Its prime factorisation is × 19 × 89. Divisors (12): 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764.
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How to work it out
- 1
6764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6764 is composite. Its prime factorisation is
- 3
The divisors add up to 12600; without 6764 itself that is 5836, so 6764 is deficient (5836 is less than 6764). Euler's totient φ(6764) = 3168 numbers up to 6764 share no factor with it.
- 4
The digits of 6764 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6764 = 2^{2} \times 19 \times 89 \]6764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12600 |
| Euler totient φ(n) | 3168 |
| Square | 45751696 |
| Cube | 309464471744 |
| Square root | 82.243541 (= 2√1691) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.764 × |
6764 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-four |
| Binary (base 2) | 1101001101100 |
| Octal (base 8) | 15154 |
| Hexadecimal (base 16) | 1A6C |
| Base 3 | 100021112 |
| As time | 6764 seconds = 1 h 52 min 44 s |
Is 6764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6764 ÷ 2 = 3382) | 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 | Yes (6764 ÷ 4 = 1691) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6764 a prime number?
No. 6764 = × 19 × 89, so it is divisible by 2.
What are the factors of 6764?
1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764.
What is 6764 in binary?
1101001101100 (hexadecimal 1A6C, octal 15154).
What is the square root of 6764?
About 82.2435, exactly 2√1691.
Is 6764 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 6764?
It is a composite number with 12 divisors.