The number 40424
40424 is a composite number with 16 divisors. Its prime factorisation is × 31 × 163. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 163, 248, 326, 652, 1304, 5053, 10106, 20212, 40424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40424 is composite. Its prime factorisation is
- 3
The divisors add up to 78720; without 40424 itself that is 38296, so 40424 is deficient (38296 is less than 40424). Euler's totient φ(40424) = 19440 numbers up to 40424 share no factor with it.
- 4
The digits of 40424 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40424 = 2^{3} \times 31 \times 163 \]40424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78720 |
| Euler totient φ(n) | 19440 |
| Square | 1634099776 |
| Cube | 66056849345024 |
| Square root | 201.057206 (= 2√10106) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0424 × |
40424 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and twenty-four |
| Binary (base 2) | 1001110111101000 |
| Octal (base 8) | 116750 |
| Hexadecimal (base 16) | 9DE8 |
| Base 3 | 2001110012 |
| As time | 40424 seconds = 11 h 13 min 44 s |
Is 40424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40424 ÷ 2 = 20212) | 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 (40424 ÷ 4 = 10106) | 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 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 | Yes (40424 ÷ 8 = 5053) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | 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 40424 a prime number?
No. 40424 = × 31 × 163, so it is divisible by 2.
What are the factors of 40424?
1, 2, 4, 8, 31, 62, 124, 163, 248, 326, 652, 1304, 5053, 10106, 20212, 40424.
What is 40424 in binary?
1001110111101000 (hexadecimal 9DE8, octal 116750).
What is the square root of 40424?
About 201.0572, exactly 2√10106.
Is 40424 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40424?
It is a composite number with 16 divisors.