The number 43220
43220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2161. Divisors (12): 1, 2, 4, 5, 10, 20, 2161, 4322, 8644, 10805, 21610, 43220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43220 is composite. Its prime factorisation is
- 3
The divisors add up to 90804; without 43220 itself that is 47584, so 43220 is abundant (47584 is more than 43220). Euler's totient φ(43220) = 17280 numbers up to 43220 share no factor with it.
- 4
The digits of 43220 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43220 = 2^{2} \times 5 \times 2161 \]43220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90804 |
| Euler totient φ(n) | 17280 |
| Square | 1867968400 |
| Cube | 80733594248000 |
| Square root | 207.894204 (= 2√10805) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.322 × |
43220 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and twenty |
| Binary (base 2) | 1010100011010100 |
| Octal (base 8) | 124324 |
| Hexadecimal (base 16) | A8D4 |
| Base 3 | 2012021202 |
| As time | 43220 seconds = 12 h 0 min 20 s |
Is 43220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43220 ÷ 2 = 21610) | 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 (43220 ÷ 4 = 10805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43220 ÷ 5 = 8644) | 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 | No (remainder 4) | 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 | Yes (43220 ÷ 10 = 4322) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43220 a prime number?
No. 43220 = × 5 × 2161, so it is divisible by 2.
What are the factors of 43220?
1, 2, 4, 5, 10, 20, 2161, 4322, 8644, 10805, 21610, 43220.
What is 43220 in binary?
1010100011010100 (hexadecimal A8D4, octal 124324).
What is the square root of 43220?
About 207.8942, exactly 2√10805.
Is 43220 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 43220?
It is a composite number with 12 divisors.