The number 67328
67328 is a composite number with 18 divisors. Its prime factorisation is × 263. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 256, 263, 526, 1052, 2104, 4208, 8416, 16832 … 67328.
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How to work it out
- 1
67328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67328 is composite. Its prime factorisation is
- 3
The divisors add up to 134904; without 67328 itself that is 67576, so 67328 is abundant (67576 is more than 67328). Euler's totient φ(67328) = 33536 numbers up to 67328 share no factor with it.
- 4
The digits of 67328 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67328 = 2^{8} \times 263 \]67328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 134904 |
| Euler totient φ(n) | 33536 |
| Square | 4533059584 |
| Cube | 305201835671552 |
| Square root | 259.476396 (= 16√263) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7328 × |
67328 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and twenty-eight |
| Binary (base 2) | 10000011100000000 |
| Octal (base 8) | 203400 |
| Hexadecimal (base 16) | 10700 |
| Base 3 | 10102100122 |
| As time | 67328 seconds = 18 h 42 min 8 s |
Is 67328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67328 ÷ 2 = 33664) | 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 (67328 ÷ 4 = 16832) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (67328 ÷ 8 = 8416) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | 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 67328 a prime number?
No. 67328 = × 263, so it is divisible by 2.
What are the factors of 67328?
1, 2, 4, 8, 16, 32, 64, 128, 256, 263, 526, 1052, 2104, 4208, 8416, 16832, 33664, 67328.
What is 67328 in binary?
10000011100000000 (hexadecimal 10700, octal 203400).
What is the square root of 67328?
About 259.4764, exactly 16√263.
Is 67328 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67328?
It is a composite number with 18 divisors.