The number 43281
43281 is a composite number with 16 divisors. Its prime factorisation is × 7 × 229. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 229, 687, 1603, 2061, 4809, 6183, 14427, 43281.
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How to work it out
- 1
What is special about 43281: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43281 is composite. Its prime factorisation is
- 3
The divisors add up to 73600; without 43281 itself that is 30319, so 43281 is deficient (30319 is less than 43281). Euler's totient φ(43281) = 24624 numbers up to 43281 share no factor with it.
- 4
The digits of 43281 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43281 = 3^{3} \times 7 \times 229 \]43281 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73600 |
| Euler totient φ(n) | 24624 |
| Square | 1873244961 |
| Cube | 81075915157041 |
| Square root | 208.040861 (= 3√4809) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3281 × |
43281 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and eighty-one |
| Binary (base 2) | 1010100100010001 |
| Octal (base 8) | 124421 |
| Hexadecimal (base 16) | A911 |
| Base 3 | 2012101000 |
| As time | 43281 seconds = 12 h 1 min 21 s |
Is 43281 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43281 ÷ 3 = 14427) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43281 ÷ 7 = 6183) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43281 ÷ 9 = 4809) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43281 a prime number?
No. 43281 = × 7 × 229, so it is divisible by 3.
What are the factors of 43281?
1, 3, 7, 9, 21, 27, 63, 189, 229, 687, 1603, 2061, 4809, 6183, 14427, 43281.
What is 43281 in binary?
1010100100010001 (hexadecimal A911, octal 124421).
What is the square root of 43281?
About 208.0409, exactly 3√4809.
Is 43281 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43281?
43281 is a happy number: repeatedly adding the squares of its digits reaches 1.