The number 43620
43620 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 727. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 727, 1454, 2181, 2908 … 43620.
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How to work it out
- 1
What is special about 43620: a Harshad number: divisible by its digit sum 15.
- 2
43620 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 43620 itself that is 78684, so 43620 is abundant (78684 is more than 43620). Euler's totient φ(43620) = 11616 numbers up to 43620 share no factor with it.
- 4
The digits of 43620 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43620 = 2^{2} \times 3 \times 5 \times 727 \]43620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 11616 |
| Square | 1902704400 |
| Cube | 82995965928000 |
| Square root | 208.854016 (= 2√10905) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.362 × |
43620 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and twenty |
| Binary (base 2) | 1010101001100100 |
| Octal (base 8) | 125144 |
| Hexadecimal (base 16) | AA64 |
| Base 3 | 2012211120 |
| As time | 43620 seconds = 12 h 7 min 0 s |
Is 43620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43620 ÷ 2 = 21810) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43620 ÷ 3 = 14540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43620 ÷ 4 = 10905) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43620 ÷ 5 = 8724) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43620 ÷ 6 = 7270) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43620 ÷ 10 = 4362) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43620 ÷ 12 = 3635) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43620 a prime number?
No. 43620 = × 3 × 5 × 727, so it is divisible by 2.
What are the factors of 43620?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 727, 1454, 2181, 2908, 3635, 4362, 7270, 8724, 10905, 14540, 21810, 43620.
What is 43620 in binary?
1010101001100100 (hexadecimal AA64, octal 125144).
What is the square root of 43620?
About 208.8540, exactly 2√10905.
Is 43620 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43620?
43620 is a Harshad number: divisible by its digit sum 15.