The number 67664
67664 is a composite number with 10 divisors. Its prime factorisation is × 4229. Divisors (10): 1, 2, 4, 8, 16, 4229, 8458, 16916, 33832, 67664.
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How to work it out
- 1
67664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67664 is composite. Its prime factorisation is
- 3
The divisors add up to 131130; without 67664 itself that is 63466, so 67664 is deficient (63466 is less than 67664). Euler's totient φ(67664) = 33824 numbers up to 67664 share no factor with it.
- 4
The digits of 67664 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67664 = 2^{4} \times 4229 \]67664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 131130 |
| Euler totient φ(n) | 33824 |
| Square | 4578416896 |
| Cube | 309794000850944 |
| Square root | 260.123048 (= 4√4229) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7664 × |
67664 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and sixty-four |
| Binary (base 2) | 10000100001010000 |
| Octal (base 8) | 204120 |
| Hexadecimal (base 16) | 10850 |
| Base 3 | 10102211002 |
| As time | 67664 seconds = 18 h 47 min 44 s |
Is 67664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67664 ÷ 2 = 33832) | 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 (67664 ÷ 4 = 16916) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 (67664 ÷ 8 = 8458) | 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 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67664 a prime number?
No. 67664 = × 4229, so it is divisible by 2.
What are the factors of 67664?
1, 2, 4, 8, 16, 4229, 8458, 16916, 33832, 67664.
What is 67664 in binary?
10000100001010000 (hexadecimal 10850, octal 204120).
What is the square root of 67664?
About 260.1230, exactly 4√4229.
Is 67664 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67664?
It is a composite number with 10 divisors.