The number 6801
6801 is a composite number with 4 divisors. Its prime factorisation is 3 × 2267. Divisors (4): 1, 3, 2267, 6801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6801: a semiprime: 3 × 2267, the product of two primes.
- 2
6801 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 6801 itself that is 2271, so 6801 is deficient (2271 is less than 6801). Euler's totient φ(6801) = 4532 numbers up to 6801 share no factor with it.
- 4
The digits of 6801 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6801 = 3 \times 2267 \]
6801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 4532 |
| Square | 46253601 |
| Cube | 314570740401 |
| Square root | 82.468176 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.801 × |
6801 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and one |
| Binary (base 2) | 1101010010001 |
| Octal (base 8) | 15221 |
| Hexadecimal (base 16) | 1A91 |
| Base 3 | 100022220 |
| As time | 6801 seconds = 1 h 53 min 21 s |
Is 6801 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 | Yes (6801 ÷ 3 = 2267) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6801 a prime number?
No. 6801 = 3 × 2267, so it is divisible by 3.
What are the factors of 6801?
1, 3, 2267, 6801.
What is 6801 in binary?
1101010010001 (hexadecimal 1A91, octal 15221).
What is the square root of 6801?
About 82.4682.
Is 6801 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6801?
6801 is a semiprime: 3 × 2267, the product of two primes.