The number 6797
6797 is a composite number with 4 divisors. Its prime factorisation is 7 × 971. Divisors (4): 1, 7, 971, 6797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6797: a semiprime: 7 × 971, the product of two primes.
- 2
6797 is composite. Its prime factorisation is
- 3
The divisors add up to 7776; without 6797 itself that is 979, so 6797 is deficient (979 is less than 6797). Euler's totient φ(6797) = 5820 numbers up to 6797 share no factor with it.
- 4
The digits of 6797 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6797 = 7 \times 971 \]
6797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7776 |
| Euler totient φ(n) | 5820 |
| Square | 46199209 |
| Cube | 314016023573 |
| Square root | 82.443920 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.797 × |
6797 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and ninety-seven |
| Binary (base 2) | 1101010001101 |
| Octal (base 8) | 15215 |
| Hexadecimal (base 16) | 1A8D |
| Base 3 | 100022202 |
| As time | 6797 seconds = 1 h 53 min 17 s |
Is 6797 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6797 ÷ 7 = 971) | 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 5) | 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 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6797 a prime number?
No. 6797 = 7 × 971, so it is divisible by 7.
What are the factors of 6797?
1, 7, 971, 6797.
What is 6797 in binary?
1101010001101 (hexadecimal 1A8D, octal 15215).
What is the square root of 6797?
About 82.4439.
Is 6797 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 6797?
6797 is a semiprime: 7 × 971, the product of two primes.