The number 67828
67828 is a composite number with 12 divisors. Its prime factorisation is × 31 × 547. Divisors (12): 1, 2, 4, 31, 62, 124, 547, 1094, 2188, 16957, 33914, 67828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67828: a Harshad number: divisible by its digit sum 31.
- 2
67828 is composite. Its prime factorisation is
- 3
The divisors add up to 122752; without 67828 itself that is 54924, so 67828 is deficient (54924 is less than 67828). Euler's totient φ(67828) = 32760 numbers up to 67828 share no factor with it.
- 4
The digits of 67828 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67828 = 2^{2} \times 31 \times 547 \]67828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 122752 |
| Euler totient φ(n) | 32760 |
| Square | 4600637584 |
| Cube | 312052046047552 |
| Square root | 260.438092 (= 2√16957) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7828 × |
67828 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and twenty-eight |
| Binary (base 2) | 10000100011110100 |
| Octal (base 8) | 204364 |
| Hexadecimal (base 16) | 108F4 |
| Base 3 | 10110001011 |
| As time | 67828 seconds = 18 h 50 min 28 s |
Is 67828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67828 ÷ 2 = 33914) | 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 | Yes (67828 ÷ 4 = 16957) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67828 a prime number?
No. 67828 = × 31 × 547, so it is divisible by 2.
What are the factors of 67828?
1, 2, 4, 31, 62, 124, 547, 1094, 2188, 16957, 33914, 67828.
What is 67828 in binary?
10000100011110100 (hexadecimal 108F4, octal 204364).
What is the square root of 67828?
About 260.4381, exactly 2√16957.
Is 67828 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67828?
67828 is a Harshad number: divisible by its digit sum 31.