The number 43240
43240 is a composite number with 32 divisors. Its prime factorisation is × 5 × 23 × 47. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 47, 92, 94, 115, 184, 188 … 43240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43240 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 43240 itself that is 60440, so 43240 is abundant (60440 is more than 43240). Euler's totient φ(43240) = 16192 numbers up to 43240 share no factor with it.
- 4
The digits of 43240 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43240 = 2^{3} \times 5 \times 23 \times 47 \]43240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 16192 |
| Square | 1869697600 |
| Cube | 80845724224000 |
| Square root | 207.942300 (= 2√10810) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.324 × |
43240 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and forty |
| Binary (base 2) | 1010100011101000 |
| Octal (base 8) | 124350 |
| Hexadecimal (base 16) | A8E8 |
| Base 3 | 2012022111 |
| As time | 43240 seconds = 12 h 0 min 40 s |
Is 43240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43240 ÷ 2 = 21620) | 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 (43240 ÷ 4 = 10810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43240 ÷ 5 = 8648) | 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 1) | 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 (43240 ÷ 8 = 5405) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43240 ÷ 10 = 4324) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 43240 a prime number?
No. 43240 = × 5 × 23 × 47, so it is divisible by 2.
What are the factors of 43240?
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 47, 92, 94, 115, 184, 188, 230, 235, 376, 460, 470, 920, 940, 1081, 1880, 2162, 4324, 5405, 8648, 10810, 21620, 43240.
What is 43240 in binary?
1010100011101000 (hexadecimal A8E8, octal 124350).
What is the square root of 43240?
About 207.9423, exactly 2√10810.
Is 43240 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 43240?
It is a composite number with 32 divisors.