The number 67616
67616 is a composite number with 12 divisors. Its prime factorisation is × 2113. Divisors (12): 1, 2, 4, 8, 16, 32, 2113, 4226, 8452, 16904, 33808, 67616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67616 is composite. Its prime factorisation is
- 3
The divisors add up to 133182; without 67616 itself that is 65566, so 67616 is deficient (65566 is less than 67616). Euler's totient φ(67616) = 33792 numbers up to 67616 share no factor with it.
- 4
The digits of 67616 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67616 = 2^{5} \times 2113 \]67616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133182 |
| Euler totient φ(n) | 33792 |
| Square | 4571923456 |
| Cube | 309135176400896 |
| Square root | 260.030767 (= 4√4226) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7616 × |
67616 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and sixteen |
| Binary (base 2) | 10000100000100000 |
| Octal (base 8) | 204040 |
| Hexadecimal (base 16) | 10820 |
| Base 3 | 10102202022 |
| As time | 67616 seconds = 18 h 46 min 56 s |
Is 67616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67616 ÷ 2 = 33808) | 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 (67616 ÷ 4 = 16904) | 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 3) | 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 (67616 ÷ 8 = 8452) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 67616 a prime number?
No. 67616 = × 2113, so it is divisible by 2.
What are the factors of 67616?
1, 2, 4, 8, 16, 32, 2113, 4226, 8452, 16904, 33808, 67616.
What is 67616 in binary?
10000100000100000 (hexadecimal 10820, octal 204040).
What is the square root of 67616?
About 260.0308, exactly 4√4226.
Is 67616 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67616?
It is a composite number with 12 divisors.