The number 43628
43628 is a composite number with 12 divisors. Its prime factorisation is × 13 × 839. Divisors (12): 1, 2, 4, 13, 26, 52, 839, 1678, 3356, 10907, 21814, 43628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43628: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43628 is composite. Its prime factorisation is
- 3
The divisors add up to 82320; without 43628 itself that is 38692, so 43628 is deficient (38692 is less than 43628). Euler's totient φ(43628) = 20112 numbers up to 43628 share no factor with it.
- 4
The digits of 43628 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43628 = 2^{2} \times 13 \times 839 \]43628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82320 |
| Euler totient φ(n) | 20112 |
| Square | 1903402384 |
| Cube | 83041639209152 |
| Square root | 208.873167 (= 2√10907) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3628 × |
43628 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and twenty-eight |
| Binary (base 2) | 1010101001101100 |
| Octal (base 8) | 125154 |
| Hexadecimal (base 16) | AA6C |
| Base 3 | 2012211212 |
| As time | 43628 seconds = 12 h 7 min 8 s |
Is 43628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43628 ÷ 2 = 21814) | 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 (43628 ÷ 4 = 10907) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 43628 a prime number?
No. 43628 = × 13 × 839, so it is divisible by 2.
What are the factors of 43628?
1, 2, 4, 13, 26, 52, 839, 1678, 3356, 10907, 21814, 43628.
What is 43628 in binary?
1010101001101100 (hexadecimal AA6C, octal 125154).
What is the square root of 43628?
About 208.8732, exactly 2√10907.
Is 43628 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 43628?
43628 is a happy number: repeatedly adding the squares of its digits reaches 1.