The number 67424
67424 is a composite number with 36 divisors. Its prime factorisation is × × 43. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 49, 56, 86, 98, 112, 172 … 67424.
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How to work it out
- 1
67424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67424 is composite. Its prime factorisation is
- 3
The divisors add up to 158004; without 67424 itself that is 90580, so 67424 is abundant (90580 is more than 67424). Euler's totient φ(67424) = 28224 numbers up to 67424 share no factor with it.
- 4
The digits of 67424 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67424 = 2^{5} \times 7^{2} \times 43 \]67424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 158004 |
| Euler totient φ(n) | 28224 |
| Square | 4545995776 |
| Cube | 306509219201024 |
| Square root | 259.661318 (= 28√86) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7424 × |
67424 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-four |
| Binary (base 2) | 10000011101100000 |
| Octal (base 8) | 203540 |
| Hexadecimal (base 16) | 10760 |
| Base 3 | 10102111012 |
| As time | 67424 seconds = 18 h 43 min 44 s |
Is 67424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67424 ÷ 2 = 33712) | 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 (67424 ÷ 4 = 16856) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67424 ÷ 7 = 9632) | 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 (67424 ÷ 8 = 8428) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 67424 a prime number?
No. 67424 = × × 43, so it is divisible by 2.
What are the factors of 67424?
1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 49, 56, 86, 98, 112, 172, 196, 224, 301, 344, 392, 602, 688, 784, 1204, 1376, 1568, 2107, 2408, 4214, 4816, 8428, 9632, 16856, 33712, 67424.
What is 67424 in binary?
10000011101100000 (hexadecimal 10760, octal 203540).
What is the square root of 67424?
About 259.6613, exactly 28√86.
Is 67424 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67424?
It is a composite number with 36 divisors.