The number 67848
67848 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 257. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 257 … 67848.
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How to work it out
- 1
What is special about 67848: a Harshad number: divisible by its digit sum 33.
- 2
67848 is composite. Its prime factorisation is
- 3
The divisors add up to 185760; without 67848 itself that is 117912, so 67848 is abundant (117912 is more than 67848). Euler's totient φ(67848) = 20480 numbers up to 67848 share no factor with it.
- 4
The digits of 67848 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67848 = 2^{3} \times 3 \times 11 \times 257 \]67848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 185760 |
| Euler totient φ(n) | 20480 |
| Square | 4603351104 |
| Cube | 312328165704192 |
| Square root | 260.476486 (= 2√16962) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7848 × |
67848 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and forty-eight |
| Binary (base 2) | 10000100100001000 |
| Octal (base 8) | 204410 |
| Hexadecimal (base 16) | 10908 |
| Base 3 | 10110001220 |
| As time | 67848 seconds = 18 h 50 min 48 s |
Is 67848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67848 ÷ 2 = 33924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67848 ÷ 3 = 22616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67848 ÷ 4 = 16962) | 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 (67848 ÷ 6 = 11308) | 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 | Yes (67848 ÷ 8 = 8481) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67848 ÷ 11 = 6168) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67848 ÷ 12 = 5654) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67848 a prime number?
No. 67848 = × 3 × 11 × 257, so it is divisible by 2.
What are the factors of 67848?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 257, 264, 514, 771, 1028, 1542, 2056, 2827, 3084, 5654, 6168, 8481, 11308, 16962, 22616, 33924, 67848.
What is 67848 in binary?
10000100100001000 (hexadecimal 10908, octal 204410).
What is the square root of 67848?
About 260.4765, exactly 2√16962.
Is 67848 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67848?
67848 is a Harshad number: divisible by its digit sum 33.