The number 43748
43748 is a composite number with 6 divisors. Its prime factorisation is × 10937. Divisors (6): 1, 2, 4, 10937, 21874, 43748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43748 is composite. Its prime factorisation is
- 3
The divisors add up to 76566; without 43748 itself that is 32818, so 43748 is deficient (32818 is less than 43748). Euler's totient φ(43748) = 21872 numbers up to 43748 share no factor with it.
- 4
The digits of 43748 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43748 = 2^{2} \times 10937 \]43748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 76566 |
| Euler totient φ(n) | 21872 |
| Square | 1913887504 |
| Cube | 83728750524992 |
| Square root | 209.160226 (= 2√10937) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3748 × |
43748 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and forty-eight |
| Binary (base 2) | 1010101011100100 |
| Octal (base 8) | 125344 |
| Hexadecimal (base 16) | AAE4 |
| Base 3 | 2020000022 |
| As time | 43748 seconds = 12 h 9 min 8 s |
Is 43748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43748 ÷ 2 = 21874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43748 ÷ 4 = 10937) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43748 a prime number?
No. 43748 = × 10937, so it is divisible by 2.
What are the factors of 43748?
1, 2, 4, 10937, 21874, 43748.
What is 43748 in binary?
1010101011100100 (hexadecimal AAE4, octal 125344).
What is the square root of 43748?
About 209.1602, exactly 2√10937.
Is 43748 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 43748?
It is a composite number with 6 divisors.