The number 43749
43749 is a composite number with 6 divisors. Its prime factorisation is × 4861. Divisors (6): 1, 3, 9, 4861, 14583, 43749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43749 is composite. Its prime factorisation is
- 3
The divisors add up to 63206; without 43749 itself that is 19457, so 43749 is deficient (19457 is less than 43749). Euler's totient φ(43749) = 29160 numbers up to 43749 share no factor with it.
- 4
The digits of 43749 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43749 = 3^{2} \times 4861 \]43749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 63206 |
| Euler totient φ(n) | 29160 |
| Square | 1913975001 |
| Cube | 83734492318749 |
| Square root | 209.162616 (= 3√4861) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3749 × |
43749 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and forty-nine |
| Binary (base 2) | 1010101011100101 |
| Octal (base 8) | 125345 |
| Hexadecimal (base 16) | AAE5 |
| Base 3 | 2020000100 |
| As time | 43749 seconds = 12 h 9 min 9 s |
Is 43749 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 (43749 ÷ 3 = 14583) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43749 ÷ 9 = 4861) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43749 a prime number?
No. 43749 = × 4861, so it is divisible by 3.
What are the factors of 43749?
1, 3, 9, 4861, 14583, 43749.
What is 43749 in binary?
1010101011100101 (hexadecimal AAE5, octal 125345).
What is the square root of 43749?
About 209.1626, exactly 3√4861.
Is 43749 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 43749?
It is a composite number with 6 divisors.