The number 43000
43000 is a composite number with 32 divisors. Its prime factorisation is × × 43. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 125, 172, 200 … 43000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43000 is composite. Its prime factorisation is
- 3
The divisors add up to 102960; without 43000 itself that is 59960, so 43000 is abundant (59960 is more than 43000). Euler's totient φ(43000) = 16800 numbers up to 43000 share no factor with it.
- 4
The digits of 43000 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43000 = 2^{3} \times 5^{3} \times 43 \]43000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 102960 |
| Euler totient φ(n) | 16800 |
| Square | 1849000000 |
| Cube | 79507000000000 |
| Square root | 207.364414 (= 10√430) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.3 × |
43000 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand |
| Binary (base 2) | 1010011111111000 |
| Octal (base 8) | 123770 |
| Hexadecimal (base 16) | A7F8 |
| Base 3 | 2011222121 |
| As time | 43000 seconds = 11 h 56 min 40 s |
Is 43000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43000 ÷ 2 = 21500) | 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 (43000 ÷ 4 = 10750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43000 ÷ 5 = 8600) | 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 6) | 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 (43000 ÷ 8 = 5375) | 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 (43000 ÷ 10 = 4300) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 43000 a prime number?
No. 43000 = × × 43, so it is divisible by 2.
What are the factors of 43000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 125, 172, 200, 215, 250, 344, 430, 500, 860, 1000, 1075, 1720, 2150, 4300, 5375, 8600, 10750, 21500, 43000.
What is 43000 in binary?
1010011111111000 (hexadecimal A7F8, octal 123770).
What is the square root of 43000?
About 207.3644, exactly 10√430.
Is 43000 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 43000?
It is a composite number with 32 divisors.