The number 67936
67936 is a composite number with 24 divisors. Its prime factorisation is × 11 × 193. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 193, 352, 386, 772, 1544 … 67936.
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How to work it out
- 1
67936 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67936 is composite. Its prime factorisation is
- 3
The divisors add up to 146664; without 67936 itself that is 78728, so 67936 is abundant (78728 is more than 67936). Euler's totient φ(67936) = 30720 numbers up to 67936 share no factor with it.
- 4
The digits of 67936 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67936 = 2^{5} \times 11 \times 193 \]67936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 146664 |
| Euler totient φ(n) | 30720 |
| Square | 4615300096 |
| Cube | 313545027321856 |
| Square root | 260.645353 (= 4√4246) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7936 × |
67936 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and thirty-six |
| Binary (base 2) | 10000100101100000 |
| Octal (base 8) | 204540 |
| Hexadecimal (base 16) | 10960 |
| Base 3 | 10110012011 |
| As time | 67936 seconds = 18 h 52 min 16 s |
Is 67936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67936 ÷ 2 = 33968) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67936 ÷ 4 = 16984) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (67936 ÷ 8 = 8492) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (67936 ÷ 11 = 6176) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67936 a prime number?
No. 67936 = × 11 × 193, so it is divisible by 2.
What are the factors of 67936?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 193, 352, 386, 772, 1544, 2123, 3088, 4246, 6176, 8492, 16984, 33968, 67936.
What is 67936 in binary?
10000100101100000 (hexadecimal 10960, octal 204540).
What is the square root of 67936?
About 260.6454, exactly 4√4246.
Is 67936 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67936?
It is a composite number with 24 divisors.