The number 67216
67216 is a composite number with 10 divisors. Its prime factorisation is × 4201. Divisors (10): 1, 2, 4, 8, 16, 4201, 8402, 16804, 33608, 67216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67216 is composite. Its prime factorisation is
- 3
The divisors add up to 130262; without 67216 itself that is 63046, so 67216 is deficient (63046 is less than 67216). Euler's totient φ(67216) = 33600 numbers up to 67216 share no factor with it.
- 4
The digits of 67216 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67216 = 2^{4} \times 4201 \]67216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 130262 |
| Euler totient φ(n) | 33600 |
| Square | 4517990656 |
| Cube | 303681259933696 |
| Square root | 259.260487 (= 4√4201) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7216 × |
67216 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and sixteen |
| Binary (base 2) | 10000011010010000 |
| Octal (base 8) | 203220 |
| Hexadecimal (base 16) | 10690 |
| Base 3 | 10102012111 |
| As time | 67216 seconds = 18 h 40 min 16 s |
Is 67216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67216 ÷ 2 = 33608) | 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 (67216 ÷ 4 = 16804) | 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 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 (67216 ÷ 8 = 8402) | 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 | No (remainder 6) | 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 67216 a prime number?
No. 67216 = × 4201, so it is divisible by 2.
What are the factors of 67216?
1, 2, 4, 8, 16, 4201, 8402, 16804, 33608, 67216.
What is 67216 in binary?
10000011010010000 (hexadecimal 10690, octal 203220).
What is the square root of 67216?
About 259.2605, exactly 4√4201.
Is 67216 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67216?
It is a composite number with 10 divisors.