The number 43720
43720 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1093. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1093, 2186, 4372, 5465, 8744, 10930, 21860, 43720.
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How to work it out
- 1
43720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43720 is composite. Its prime factorisation is
- 3
The divisors add up to 98460; without 43720 itself that is 54740, so 43720 is abundant (54740 is more than 43720). Euler's totient φ(43720) = 17472 numbers up to 43720 share no factor with it.
- 4
The digits of 43720 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43720 = 2^{3} \times 5 \times 1093 \]43720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98460 |
| Euler totient φ(n) | 17472 |
| Square | 1911438400 |
| Cube | 83568086848000 |
| Square root | 209.093281 (= 2√10930) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.372 × |
43720 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and twenty |
| Binary (base 2) | 1010101011001000 |
| Octal (base 8) | 125310 |
| Hexadecimal (base 16) | AAC8 |
| Base 3 | 2012222021 |
| As time | 43720 seconds = 12 h 8 min 40 s |
Is 43720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43720 ÷ 2 = 21860) | 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 (43720 ÷ 4 = 10930) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43720 ÷ 5 = 8744) | 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 5) | 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 (43720 ÷ 8 = 5465) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43720 ÷ 10 = 4372) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 43720 a prime number?
No. 43720 = × 5 × 1093, so it is divisible by 2.
What are the factors of 43720?
1, 2, 4, 5, 8, 10, 20, 40, 1093, 2186, 4372, 5465, 8744, 10930, 21860, 43720.
What is 43720 in binary?
1010101011001000 (hexadecimal AAC8, octal 125310).
What is the square root of 43720?
About 209.0933, exactly 2√10930.
Is 43720 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43720?
It is a composite number with 16 divisors.