The number 40724
40724 is a composite number with 6 divisors. Its prime factorisation is × 10181. Divisors (6): 1, 2, 4, 10181, 20362, 40724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40724 is composite. Its prime factorisation is
- 3
The divisors add up to 71274; without 40724 itself that is 30550, so 40724 is deficient (30550 is less than 40724). Euler's totient φ(40724) = 20360 numbers up to 40724 share no factor with it.
- 4
The digits of 40724 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40724 = 2^{2} \times 10181 \]40724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 71274 |
| Euler totient φ(n) | 20360 |
| Square | 1658444176 |
| Cube | 67538480623424 |
| Square root | 201.801883 (= 2√10181) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0724 × |
40724 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and twenty-four |
| Binary (base 2) | 1001111100010100 |
| Octal (base 8) | 117424 |
| Hexadecimal (base 16) | 9F14 |
| Base 3 | 2001212022 |
| As time | 40724 seconds = 11 h 18 min 44 s |
Is 40724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40724 ÷ 2 = 20362) | 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 (40724 ÷ 4 = 10181) | 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 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40724 a prime number?
No. 40724 = × 10181, so it is divisible by 2.
What are the factors of 40724?
1, 2, 4, 10181, 20362, 40724.
What is 40724 in binary?
1001111100010100 (hexadecimal 9F14, octal 117424).
What is the square root of 40724?
About 201.8019, exactly 2√10181.
Is 40724 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40724?
It is a composite number with 6 divisors.