The number 67296
67296 is a composite number with 24 divisors. Its prime factorisation is × 3 × 701. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 701, 1402, 2103, 2804 … 67296.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67296 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67296 is composite. Its prime factorisation is
- 3
The divisors add up to 176904; without 67296 itself that is 109608, so 67296 is abundant (109608 is more than 67296). Euler's totient φ(67296) = 22400 numbers up to 67296 share no factor with it.
- 4
The digits of 67296 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67296 = 2^{5} \times 3 \times 701 \]67296 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 176904 |
| Euler totient φ(n) | 22400 |
| Square | 4528751616 |
| Cube | 304766868750336 |
| Square root | 259.414726 (= 4√4206) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7296 × |
67296 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and ninety-six |
| Binary (base 2) | 10000011011100000 |
| Octal (base 8) | 203340 |
| Hexadecimal (base 16) | 106E0 |
| Base 3 | 10102022110 |
| As time | 67296 seconds = 18 h 41 min 36 s |
Is 67296 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67296 ÷ 2 = 33648) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67296 ÷ 3 = 22432) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67296 ÷ 4 = 16824) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67296 ÷ 6 = 11216) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (67296 ÷ 8 = 8412) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (67296 ÷ 12 = 5608) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67296 a prime number?
No. 67296 = × 3 × 701, so it is divisible by 2.
What are the factors of 67296?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 701, 1402, 2103, 2804, 4206, 5608, 8412, 11216, 16824, 22432, 33648, 67296.
What is 67296 in binary?
10000011011100000 (hexadecimal 106E0, octal 203340).
What is the square root of 67296?
About 259.4147, exactly 4√4206.
Is 67296 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67296?
It is a composite number with 24 divisors.