The number 67284
67284 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 89. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 67284.
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How to work it out
- 1
What is special about 67284: a Harshad number: divisible by its digit sum 27.
- 2
67284 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 67284 itself that is 134316, so 67284 is abundant (134316 is more than 67284). Euler's totient φ(67284) = 19008 numbers up to 67284 share no factor with it.
- 4
The digits of 67284 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67284 = 2^{2} \times 3^{3} \times 7 \times 89 \]67284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 19008 |
| Square | 4527136656 |
| Cube | 304603862762304 |
| Square root | 259.391596 (= 6√1869) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7284 × |
67284 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and eighty-four |
| Binary (base 2) | 10000011011010100 |
| Octal (base 8) | 203324 |
| Hexadecimal (base 16) | 106D4 |
| Base 3 | 10102022000 |
| As time | 67284 seconds = 18 h 41 min 24 s |
Is 67284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67284 ÷ 2 = 33642) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67284 ÷ 3 = 22428) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67284 ÷ 4 = 16821) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67284 ÷ 6 = 11214) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67284 ÷ 7 = 9612) | 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 | Yes (67284 ÷ 9 = 7476) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67284 ÷ 12 = 5607) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67284 a prime number?
No. 67284 = × × 7 × 89, so it is divisible by 2.
What are the factors of 67284?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 89, 108, 126, 178, 189, 252, 267, 356, 378, 534, 623, 756, 801, 1068, 1246, 1602, 1869, 2403, 2492, 3204, 3738, 4806, 5607, 7476, 9612, 11214, 16821, 22428, 33642, 67284.
What is 67284 in binary?
10000011011010100 (hexadecimal 106D4, octal 203324).
What is the square root of 67284?
About 259.3916, exactly 6√1869.
Is 67284 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67284?
67284 is a Harshad number: divisible by its digit sum 27.