The number 40733
40733 is a composite number with 12 divisors. Its prime factorisation is 7 × 11 × . Divisors (12): 1, 7, 11, 23, 77, 161, 253, 529, 1771, 3703, 5819, 40733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40733 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40733 is composite. Its prime factorisation is
- 3
The divisors add up to 53088; without 40733 itself that is 12355, so 40733 is deficient (12355 is less than 40733). Euler's totient φ(40733) = 30360 numbers up to 40733 share no factor with it.
- 4
The digits of 40733 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40733 = 7 \times 11 \times 23^{2} \]40733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53088 |
| Euler totient φ(n) | 30360 |
| Square | 1659177289 |
| Cube | 67583268512837 |
| Square root | 201.824181 (= 23√77) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0733 × |
40733 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and thirty-three |
| Binary (base 2) | 1001111100011101 |
| Octal (base 8) | 117435 |
| Hexadecimal (base 16) | 9F1D |
| Base 3 | 2001212122 |
| As time | 40733 seconds = 11 h 18 min 53 s |
Is 40733 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40733 ÷ 7 = 5819) | 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 | No (remainder 8) | 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 | Yes (40733 ÷ 11 = 3703) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40733 a prime number?
No. 40733 = 7 × 11 × , so it is divisible by 7.
What are the factors of 40733?
1, 7, 11, 23, 77, 161, 253, 529, 1771, 3703, 5819, 40733.
What is 40733 in binary?
1001111100011101 (hexadecimal 9F1D, octal 117435).
What is the square root of 40733?
About 201.8242, exactly 23√77.
Is 40733 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40733?
It is a composite number with 12 divisors.