The number 67428
67428 is a composite number with 18 divisors. Its prime factorisation is × × 1873. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1873, 3746, 5619, 7492, 11238, 16857, 22476 … 67428.
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How to work it out
- 1
67428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67428 is composite. Its prime factorisation is
- 3
The divisors add up to 170534; without 67428 itself that is 103106, so 67428 is abundant (103106 is more than 67428). Euler's totient φ(67428) = 22464 numbers up to 67428 share no factor with it.
- 4
The digits of 67428 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67428 = 2^{2} \times 3^{2} \times 1873 \]67428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 170534 |
| Euler totient φ(n) | 22464 |
| Square | 4546535184 |
| Cube | 306563774386752 |
| Square root | 259.669020 (= 6√1873) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7428 × |
67428 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-eight |
| Binary (base 2) | 10000011101100100 |
| Octal (base 8) | 203544 |
| Hexadecimal (base 16) | 10764 |
| Base 3 | 10102111100 |
| As time | 67428 seconds = 18 h 43 min 48 s |
Is 67428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67428 ÷ 2 = 33714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67428 ÷ 3 = 22476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67428 ÷ 4 = 16857) | 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 (67428 ÷ 6 = 11238) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67428 ÷ 9 = 7492) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67428 ÷ 12 = 5619) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67428 a prime number?
No. 67428 = × × 1873, so it is divisible by 2.
What are the factors of 67428?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1873, 3746, 5619, 7492, 11238, 16857, 22476, 33714, 67428.
What is 67428 in binary?
10000011101100100 (hexadecimal 10764, octal 203544).
What is the square root of 67428?
About 259.6690, exactly 6√1873.
Is 67428 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67428?
It is a composite number with 18 divisors.