The number 67016
67016 is a composite number with 8 divisors. Its prime factorisation is × 8377. Divisors (8): 1, 2, 4, 8, 8377, 16754, 33508, 67016.
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How to work it out
- 1
67016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67016 is composite. Its prime factorisation is
- 3
The divisors add up to 125670; without 67016 itself that is 58654, so 67016 is deficient (58654 is less than 67016). Euler's totient φ(67016) = 33504 numbers up to 67016 share no factor with it.
- 4
The digits of 67016 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67016 = 2^{3} \times 8377 \]67016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 125670 |
| Euler totient φ(n) | 33504 |
| Square | 4491144256 |
| Cube | 300978523460096 |
| Square root | 258.874487 (= 2√16754) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7016 × |
67016 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and sixteen |
| Binary (base 2) | 10000010111001000 |
| Octal (base 8) | 202710 |
| Hexadecimal (base 16) | 105C8 |
| Base 3 | 10101221002 |
| As time | 67016 seconds = 18 h 36 min 56 s |
Is 67016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67016 ÷ 2 = 33508) | 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 (67016 ÷ 4 = 16754) | 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 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 (67016 ÷ 8 = 8377) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 67016 a prime number?
No. 67016 = × 8377, so it is divisible by 2.
What are the factors of 67016?
1, 2, 4, 8, 8377, 16754, 33508, 67016.
What is 67016 in binary?
10000010111001000 (hexadecimal 105C8, octal 202710).
What is the square root of 67016?
About 258.8745, exactly 2√16754.
Is 67016 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67016?
It is a composite number with 8 divisors.