The number 43820
43820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 313. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 313, 626, 1252, 1565 … 43820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43820 is composite. Its prime factorisation is
- 3
The divisors add up to 105504; without 43820 itself that is 61684, so 43820 is abundant (61684 is more than 43820). Euler's totient φ(43820) = 14976 numbers up to 43820 share no factor with it.
- 4
The digits of 43820 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43820 = 2^{2} \times 5 \times 7 \times 313 \]43820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105504 |
| Euler totient φ(n) | 14976 |
| Square | 1920192400 |
| Cube | 84142830968000 |
| Square root | 209.332272 (= 2√10955) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.382 × |
43820 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and twenty |
| Binary (base 2) | 1010101100101100 |
| Octal (base 8) | 125454 |
| Hexadecimal (base 16) | AB2C |
| Base 3 | 2020002222 |
| As time | 43820 seconds = 12 h 10 min 20 s |
Is 43820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43820 ÷ 2 = 21910) | 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 (43820 ÷ 4 = 10955) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43820 ÷ 5 = 8764) | 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 | Yes (43820 ÷ 7 = 6260) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43820 ÷ 10 = 4382) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43820 a prime number?
No. 43820 = × 5 × 7 × 313, so it is divisible by 2.
What are the factors of 43820?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 313, 626, 1252, 1565, 2191, 3130, 4382, 6260, 8764, 10955, 21910, 43820.
What is 43820 in binary?
1010101100101100 (hexadecimal AB2C, octal 125454).
What is the square root of 43820?
About 209.3323, exactly 2√10955.
Is 43820 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 43820?
It is a composite number with 24 divisors.