The number 67316
67316 is a composite number with 6 divisors. Its prime factorisation is × 16829. Divisors (6): 1, 2, 4, 16829, 33658, 67316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67316 is composite. Its prime factorisation is
- 3
The divisors add up to 117810; without 67316 itself that is 50494, so 67316 is deficient (50494 is less than 67316). Euler's totient φ(67316) = 33656 numbers up to 67316 share no factor with it.
- 4
The digits of 67316 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67316 = 2^{2} \times 16829 \]67316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 117810 |
| Euler totient φ(n) | 33656 |
| Square | 4531443856 |
| Cube | 305038674610496 |
| Square root | 259.453271 (= 2√16829) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7316 × |
67316 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and sixteen |
| Binary (base 2) | 10000011011110100 |
| Octal (base 8) | 203364 |
| Hexadecimal (base 16) | 106F4 |
| Base 3 | 10102100012 |
| As time | 67316 seconds = 18 h 41 min 56 s |
Is 67316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67316 ÷ 2 = 33658) | 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 (67316 ÷ 4 = 16829) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 67316 a prime number?
No. 67316 = × 16829, so it is divisible by 2.
What are the factors of 67316?
1, 2, 4, 16829, 33658, 67316.
What is 67316 in binary?
10000011011110100 (hexadecimal 106F4, octal 203364).
What is the square root of 67316?
About 259.4533, exactly 2√16829.
Is 67316 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67316?
It is a composite number with 6 divisors.