The number 6798
6798 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 103. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6798: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6798 is composite. Its prime factorisation is
- 3
The divisors add up to 14976; without 6798 itself that is 8178, so 6798 is abundant (8178 is more than 6798). Euler's totient φ(6798) = 2040 numbers up to 6798 share no factor with it.
- 4
The digits of 6798 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6798 = 2 \times 3 \times 11 \times 103 \]
6798 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14976 |
| Euler totient φ(n) | 2040 |
| Square | 46212804 |
| Cube | 314154641592 |
| Square root | 82.449985 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 119 |
| Scientific notation | 6.798 × |
6798 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and ninety-eight |
| Binary (base 2) | 1101010001110 |
| Octal (base 8) | 15216 |
| Hexadecimal (base 16) | 1A8E |
| Base 3 | 100022210 |
| As time | 6798 seconds = 1 h 53 min 18 s |
Is 6798 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6798 ÷ 2 = 3399) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6798 ÷ 3 = 2266) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6798 ÷ 6 = 1133) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6798 ÷ 11 = 618) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6798 a prime number?
No. 6798 = 2 × 3 × 11 × 103, so it is divisible by 2.
What are the factors of 6798?
1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798.
What is 6798 in binary?
1101010001110 (hexadecimal 1A8E, octal 15216).
What is the square root of 6798?
About 82.4500.
Is 6798 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 6798?
6798 is a happy number: repeatedly adding the squares of its digits reaches 1.