The number 40743
40743 is a composite number with 10 divisors. Its prime factorisation is × 503. Divisors (10): 1, 3, 9, 27, 81, 503, 1509, 4527, 13581, 40743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40743 is composite. Its prime factorisation is
- 3
The divisors add up to 60984; without 40743 itself that is 20241, so 40743 is deficient (20241 is less than 40743). Euler's totient φ(40743) = 27108 numbers up to 40743 share no factor with it.
- 4
The digits of 40743 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40743 = 3^{4} \times 503 \]40743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 60984 |
| Euler totient φ(n) | 27108 |
| Square | 1659992049 |
| Cube | 67633056052407 |
| Square root | 201.848953 (= 9√503) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0743 × |
40743 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty-three |
| Binary (base 2) | 1001111100100111 |
| Octal (base 8) | 117447 |
| Hexadecimal (base 16) | 9F27 |
| Base 3 | 2001220000 |
| As time | 40743 seconds = 11 h 19 min 3 s |
Is 40743 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 (40743 ÷ 3 = 13581) | 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 3) | 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 (40743 ÷ 9 = 4527) | 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 10) | 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 40743 a prime number?
No. 40743 = × 503, so it is divisible by 3.
What are the factors of 40743?
1, 3, 9, 27, 81, 503, 1509, 4527, 13581, 40743.
What is 40743 in binary?
1001111100100111 (hexadecimal 9F27, octal 117447).
What is the square root of 40743?
About 201.8490, exactly 9√503.
Is 40743 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40743?
It is a composite number with 10 divisors.