The number 6767
6767 is a composite number with 4 divisors. Its prime factorisation is 67 × 101. Divisors (4): 1, 67, 101, 6767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6767: a semiprime: 67 × 101, the product of two primes.
- 2
6767 is composite. Its prime factorisation is
- 3
The divisors add up to 6936; without 6767 itself that is 169, so 6767 is deficient (169 is less than 6767). Euler's totient φ(6767) = 6600 numbers up to 6767 share no factor with it.
- 4
The digits of 6767 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6767 = 67 \times 101 \]
6767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6936 |
| Euler totient φ(n) | 6600 |
| Square | 45792289 |
| Cube | 309876419663 |
| Square root | 82.261777 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.767 × |
6767 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-seven |
| Binary (base 2) | 1101001101111 |
| Octal (base 8) | 15157 |
| Hexadecimal (base 16) | 1A6F |
| Base 3 | 100021122 |
| As time | 6767 seconds = 1 h 52 min 47 s |
Is 6767 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6767 a prime number?
No. 6767 = 67 × 101, so it is divisible by 67.
What are the factors of 6767?
1, 67, 101, 6767.
What is 6767 in binary?
1101001101111 (hexadecimal 1A6F, octal 15157).
What is the square root of 6767?
About 82.2618.
Is 6767 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 6767?
6767 is a semiprime: 67 × 101, the product of two primes.