The number 43264
43264 is a perfect square (208²). Its prime factorisation is × . Divisors (27): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 256, 338 … 43264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43264: a perfect square (208²).
- 2
43264 is composite. Its prime factorisation is
- 3
The divisors add up to 93513; without 43264 itself that is 50249, so 43264 is abundant (50249 is more than 43264). Euler's totient φ(43264) = 19968 numbers up to 43264 share no factor with it.
- 4
The digits of 43264 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43264 = 2^{8} \times 13^{2} \]43264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 93513 |
| Euler totient φ(n) | 19968 |
| Square | 1871773696 |
| Cube | 80980417183744 |
| Square root | 208 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3264 × |
| Perfect power |
43264 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and sixty-four |
| Binary (base 2) | 1010100100000000 |
| Octal (base 8) | 124400 |
| Hexadecimal (base 16) | A900 |
| Base 3 | 2012100101 |
| As time | 43264 seconds = 12 h 1 min 4 s |
Is 43264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43264 ÷ 2 = 21632) | 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 (43264 ÷ 4 = 10816) | 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 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 (43264 ÷ 8 = 5408) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 43264 a prime number?
No. 43264 = × , so it is divisible by 2.
What are the factors of 43264?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 256, 338, 416, 676, 832, 1352, 1664, 2704, 3328, 5408, 10816, 21632, 43264.
What is 43264 in binary?
1010100100000000 (hexadecimal A900, octal 124400).
What is the square root of 43264?
208, because 208 × 208 = 43264.
Is 43264 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43264?
43264 is a perfect square (208²).