The number 6802
6802 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 179. Divisors (8): 1, 2, 19, 38, 179, 358, 3401, 6802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6802 is composite. Its prime factorisation is
- 3
The divisors add up to 10800; without 6802 itself that is 3998, so 6802 is deficient (3998 is less than 6802). Euler's totient φ(6802) = 3204 numbers up to 6802 share no factor with it.
- 4
The digits of 6802 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6802 = 2 \times 19 \times 179 \]
6802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10800 |
| Euler totient φ(n) | 3204 |
| Square | 46267204 |
| Cube | 314709521608 |
| Square root | 82.474238 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.802 × |
6802 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and two |
| Binary (base 2) | 1101010010010 |
| Octal (base 8) | 15222 |
| Hexadecimal (base 16) | 1A92 |
| Base 3 | 100022221 |
| As time | 6802 seconds = 1 h 53 min 22 s |
Is 6802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6802 ÷ 2 = 3401) | 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 | No (remainder 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6802 a prime number?
No. 6802 = 2 × 19 × 179, so it is divisible by 2.
What are the factors of 6802?
1, 2, 19, 38, 179, 358, 3401, 6802.
What is 6802 in binary?
1101010010010 (hexadecimal 1A92, octal 15222).
What is the square root of 6802?
About 82.4742.
Is 6802 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6802?
It is a composite number with 8 divisors.