The number 40732
40732 is a composite number with 12 divisors. Its prime factorisation is × 17 × 599. Divisors (12): 1, 2, 4, 17, 34, 68, 599, 1198, 2396, 10183, 20366, 40732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40732 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 40732 itself that is 34868, so 40732 is deficient (34868 is less than 40732). Euler's totient φ(40732) = 19136 numbers up to 40732 share no factor with it.
- 4
The digits of 40732 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40732 = 2^{2} \times 17 \times 599 \]40732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 19136 |
| Square | 1659095824 |
| Cube | 67578291103168 |
| Square root | 201.821703 (= 2√10183) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0732 × |
40732 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and thirty-two |
| Binary (base 2) | 1001111100011100 |
| Octal (base 8) | 117434 |
| Hexadecimal (base 16) | 9F1C |
| Base 3 | 2001212121 |
| As time | 40732 seconds = 11 h 18 min 52 s |
Is 40732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40732 ÷ 2 = 20366) | 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 (40732 ÷ 4 = 10183) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 4) | 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 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40732 a prime number?
No. 40732 = × 17 × 599, so it is divisible by 2.
What are the factors of 40732?
1, 2, 4, 17, 34, 68, 599, 1198, 2396, 10183, 20366, 40732.
What is 40732 in binary?
1001111100011100 (hexadecimal 9F1C, octal 117434).
What is the square root of 40732?
About 201.8217, exactly 2√10183.
Is 40732 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40732?
It is a composite number with 12 divisors.