The number 43480
43480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1087. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1087, 2174, 4348, 5435, 8696, 10870, 21740, 43480.
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How to work it out
- 1
43480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43480 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 43480 itself that is 54440, so 43480 is abundant (54440 is more than 43480). Euler's totient φ(43480) = 17376 numbers up to 43480 share no factor with it.
- 4
The digits of 43480 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43480 = 2^{3} \times 5 \times 1087 \]43480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 17376 |
| Square | 1890510400 |
| Cube | 82199392192000 |
| Square root | 208.518584 (= 2√10870) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.348 × |
43480 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and eighty |
| Binary (base 2) | 1010100111011000 |
| Octal (base 8) | 124730 |
| Hexadecimal (base 16) | A9D8 |
| Base 3 | 2012122101 |
| As time | 43480 seconds = 12 h 4 min 40 s |
Is 43480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43480 ÷ 2 = 21740) | 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 (43480 ÷ 4 = 10870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43480 ÷ 5 = 8696) | 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 | Yes (43480 ÷ 8 = 5435) | 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 | Yes (43480 ÷ 10 = 4348) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 43480 a prime number?
No. 43480 = × 5 × 1087, so it is divisible by 2.
What are the factors of 43480?
1, 2, 4, 5, 8, 10, 20, 40, 1087, 2174, 4348, 5435, 8696, 10870, 21740, 43480.
What is 43480 in binary?
1010100111011000 (hexadecimal A9D8, octal 124730).
What is the square root of 43480?
About 208.5186, exactly 2√10870.
Is 43480 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43480?
It is a composite number with 16 divisors.