The number 43983
43983 is a composite number with 12 divisors. Its prime factorisation is × 181. Divisors (12): 1, 3, 9, 27, 81, 181, 243, 543, 1629, 4887, 14661, 43983.
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How to work it out
- 1
What is special about 43983: a Harshad number: divisible by its digit sum 27.
- 2
43983 is composite. Its prime factorisation is
- 3
The divisors add up to 66248; without 43983 itself that is 22265, so 43983 is deficient (22265 is less than 43983). Euler's totient φ(43983) = 29160 numbers up to 43983 share no factor with it.
- 4
The digits of 43983 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43983 = 3^{5} \times 181 \]43983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66248 |
| Euler totient φ(n) | 29160 |
| Square | 1934504289 |
| Cube | 85085302143087 |
| Square root | 209.721244 (= 9√543) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.3983 × |
43983 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and eighty-three |
| Binary (base 2) | 1010101111001111 |
| Octal (base 8) | 125717 |
| Hexadecimal (base 16) | ABCF |
| Base 3 | 2020100000 |
| As time | 43983 seconds = 12 h 13 min 3 s |
Is 43983 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43983 ÷ 3 = 14661) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43983 ÷ 9 = 4887) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43983 a prime number?
No. 43983 = × 181, so it is divisible by 3.
What are the factors of 43983?
1, 3, 9, 27, 81, 181, 243, 543, 1629, 4887, 14661, 43983.
What is 43983 in binary?
1010101111001111 (hexadecimal ABCF, octal 125717).
What is the square root of 43983?
About 209.7212, exactly 9√543.
Is 43983 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 43983?
43983 is a Harshad number: divisible by its digit sum 27.