The number 43080
43080 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 359. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 43080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43080: a Harshad number: divisible by its digit sum 15.
- 2
43080 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 43080 itself that is 86520, so 43080 is abundant (86520 is more than 43080). Euler's totient φ(43080) = 11456 numbers up to 43080 share no factor with it.
- 4
The digits of 43080 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43080 = 2^{3} \times 3 \times 5 \times 359 \]43080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 11456 |
| Square | 1855886400 |
| Cube | 79951586112000 |
| Square root | 207.557221 (= 2√10770) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.308 × |
43080 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and eighty |
| Binary (base 2) | 1010100001001000 |
| Octal (base 8) | 124110 |
| Hexadecimal (base 16) | A848 |
| Base 3 | 2012002120 |
| As time | 43080 seconds = 11 h 58 min 0 s |
Is 43080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43080 ÷ 2 = 21540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43080 ÷ 3 = 14360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43080 ÷ 4 = 10770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43080 ÷ 5 = 8616) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43080 ÷ 6 = 7180) | 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 | Yes (43080 ÷ 8 = 5385) | 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 (43080 ÷ 10 = 4308) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43080 ÷ 12 = 3590) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43080 a prime number?
No. 43080 = × 3 × 5 × 359, so it is divisible by 2.
What are the factors of 43080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 359, 718, 1077, 1436, 1795, 2154, 2872, 3590, 4308, 5385, 7180, 8616, 10770, 14360, 21540, 43080.
What is 43080 in binary?
1010100001001000 (hexadecimal A848, octal 124110).
What is the square root of 43080?
About 207.5572, exactly 2√10770.
Is 43080 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43080?
43080 is a Harshad number: divisible by its digit sum 15.