The number 67264
67264 is a composite number with 14 divisors. Its prime factorisation is × 1051. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1051, 2102, 4204, 8408, 16816, 33632, 67264.
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How to work it out
- 1
67264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67264 is composite. Its prime factorisation is
- 3
The divisors add up to 133604; without 67264 itself that is 66340, so 67264 is deficient (66340 is less than 67264). Euler's totient φ(67264) = 33600 numbers up to 67264 share no factor with it.
- 4
The digits of 67264 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67264 = 2^{6} \times 1051 \]67264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 133604 |
| Euler totient φ(n) | 33600 |
| Square | 4524445696 |
| Cube | 304332315295744 |
| Square root | 259.353041 (= 8√1051) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7264 × |
67264 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and sixty-four |
| Binary (base 2) | 10000011011000000 |
| Octal (base 8) | 203300 |
| Hexadecimal (base 16) | 106C0 |
| Base 3 | 10102021021 |
| As time | 67264 seconds = 18 h 41 min 4 s |
Is 67264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67264 ÷ 2 = 33632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67264 ÷ 4 = 16816) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (67264 ÷ 8 = 8408) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67264 a prime number?
No. 67264 = × 1051, so it is divisible by 2.
What are the factors of 67264?
1, 2, 4, 8, 16, 32, 64, 1051, 2102, 4204, 8408, 16816, 33632, 67264.
What is 67264 in binary?
10000011011000000 (hexadecimal 106C0, octal 203300).
What is the square root of 67264?
About 259.3530, exactly 8√1051.
Is 67264 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67264?
It is a composite number with 14 divisors.