The number 68016
68016 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 109. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104 … 68016.
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How to work it out
- 1
68016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68016 is composite. Its prime factorisation is
- 3
The divisors add up to 190960; without 68016 itself that is 122944, so 68016 is abundant (122944 is more than 68016). Euler's totient φ(68016) = 20736 numbers up to 68016 share no factor with it.
- 4
The digits of 68016 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68016 = 2^{4} \times 3 \times 13 \times 109 \]68016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 190960 |
| Euler totient φ(n) | 20736 |
| Square | 4626176256 |
| Cube | 314654004228096 |
| Square root | 260.798773 (= 4√4251) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.8016 × |
68016 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and sixteen |
| Binary (base 2) | 10000100110110000 |
| Octal (base 8) | 204660 |
| Hexadecimal (base 16) | 109B0 |
| Base 3 | 10110022010 |
| As time | 68016 seconds = 18 h 53 min 36 s |
Is 68016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68016 ÷ 2 = 34008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68016 ÷ 3 = 22672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (68016 ÷ 4 = 17004) | 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 (68016 ÷ 6 = 11336) | 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 | Yes (68016 ÷ 8 = 8502) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (68016 ÷ 12 = 5668) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 68016 a prime number?
No. 68016 = × 3 × 13 × 109, so it is divisible by 2.
What are the factors of 68016?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 109, 156, 208, 218, 312, 327, 436, 624, 654, 872, 1308, 1417, 1744, 2616, 2834, 4251, 5232, 5668, 8502, 11336, 17004, 22672, 34008, 68016.
What is 68016 in binary?
10000100110110000 (hexadecimal 109B0, octal 204660).
What is the square root of 68016?
About 260.7988, exactly 4√4251.
Is 68016 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 68016?
It is a composite number with 40 divisors.