The number 43218
43218 is a composite number with 30 divisors. Its prime factorisation is 2 × × . Divisors (30): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294 … 43218.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43218: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
43218 is composite. Its prime factorisation is
- 3
The divisors add up to 109239; without 43218 itself that is 66021, so 43218 is abundant (66021 is more than 43218). Euler's totient φ(43218) = 12348 numbers up to 43218 share no factor with it.
- 4
The digits of 43218 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43218 = 2 \times 3^{2} \times 7^{4} \]43218 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 109239 |
| Euler totient φ(n) | 12348 |
| Square | 1867795524 |
| Cube | 80722386956232 |
| Square root | 207.889394 (= 147√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3218 × |
43218 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and eighteen |
| Binary (base 2) | 1010100011010010 |
| Octal (base 8) | 124322 |
| Hexadecimal (base 16) | A8D2 |
| Base 3 | 2012021200 |
| As time | 43218 seconds = 12 h 0 min 18 s |
Is 43218 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43218 ÷ 2 = 21609) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43218 ÷ 3 = 14406) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43218 ÷ 6 = 7203) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43218 ÷ 7 = 6174) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43218 ÷ 9 = 4802) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43218 a prime number?
No. 43218 = 2 × × , so it is divisible by 2.
What are the factors of 43218?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 2401, 3087, 4802, 6174, 7203, 14406, 21609, 43218.
What is 43218 in binary?
1010100011010010 (hexadecimal A8D2, octal 124322).
What is the square root of 43218?
About 207.8894, exactly 147√2.
Is 43218 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43218?
43218 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.