The number 43228
43228 is a composite number with 12 divisors. Its prime factorisation is × 101 × 107. Divisors (12): 1, 2, 4, 101, 107, 202, 214, 404, 428, 10807, 21614, 43228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43228: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43228 is composite. Its prime factorisation is
- 3
The divisors add up to 77112; without 43228 itself that is 33884, so 43228 is deficient (33884 is less than 43228). Euler's totient φ(43228) = 21200 numbers up to 43228 share no factor with it.
- 4
The digits of 43228 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43228 = 2^{2} \times 101 \times 107 \]43228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77112 |
| Euler totient φ(n) | 21200 |
| Square | 1868659984 |
| Cube | 80778433788352 |
| Square root | 207.913444 (= 2√10807) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.3228 × |
43228 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and twenty-eight |
| Binary (base 2) | 1010100011011100 |
| Octal (base 8) | 124334 |
| Hexadecimal (base 16) | A8DC |
| Base 3 | 2012022001 |
| As time | 43228 seconds = 12 h 0 min 28 s |
Is 43228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43228 ÷ 2 = 21614) | 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 (43228 ÷ 4 = 10807) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 9) | 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 43228 a prime number?
No. 43228 = × 101 × 107, so it is divisible by 2.
What are the factors of 43228?
1, 2, 4, 101, 107, 202, 214, 404, 428, 10807, 21614, 43228.
What is 43228 in binary?
1010100011011100 (hexadecimal A8DC, octal 124334).
What is the square root of 43228?
About 207.9134, exactly 2√10807.
Is 43228 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43228?
43228 is a happy number: repeatedly adding the squares of its digits reaches 1.