The number 6800
6800 is a composite number with 30 divisors. Its prime factorisation is × × 17. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85 … 6800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6800: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6800 is composite. Its prime factorisation is
- 3
The divisors add up to 17298; without 6800 itself that is 10498, so 6800 is abundant (10498 is more than 6800). Euler's totient φ(6800) = 2560 numbers up to 6800 share no factor with it.
- 4
The digits of 6800 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6800 = 2^{4} \times 5^{2} \times 17 \]6800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 17298 |
| Euler totient φ(n) | 2560 |
| Square | 46240000 |
| Cube | 314432000000 |
| Square root | 82.462113 (= 20√17) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.8 × |
6800 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred |
| Binary (base 2) | 1101010010000 |
| Octal (base 8) | 15220 |
| Hexadecimal (base 16) | 1A90 |
| Base 3 | 100022212 |
| As time | 6800 seconds = 1 h 53 min 20 s |
Is 6800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6800 ÷ 2 = 3400) | 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 | Yes (6800 ÷ 4 = 1700) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6800 ÷ 5 = 1360) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (6800 ÷ 8 = 850) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6800 ÷ 10 = 680) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6800 a prime number?
No. 6800 = × × 17, so it is divisible by 2.
What are the factors of 6800?
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800.
What is 6800 in binary?
1101010010000 (hexadecimal 1A90, octal 15220).
What is the square root of 6800?
About 82.4621, exactly 20√17.
Is 6800 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 6800?
6800 is a happy number: repeatedly adding the squares of its digits reaches 1.