The number 41424
41424 is a composite number with 20 divisors. Its prime factorisation is × 3 × 863. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 863, 1726, 2589, 3452, 5178, 6904 … 41424.
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How to work it out
- 1
41424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41424 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 41424 itself that is 65712, so 41424 is abundant (65712 is more than 41424). Euler's totient φ(41424) = 13792 numbers up to 41424 share no factor with it.
- 4
The digits of 41424 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41424 = 2^{4} \times 3 \times 863 \]41424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 13792 |
| Square | 1715947776 |
| Cube | 71081420673024 |
| Square root | 203.528868 (= 4√2589) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.1424 × |
41424 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and twenty-four |
| Binary (base 2) | 1010000111010000 |
| Octal (base 8) | 120720 |
| Hexadecimal (base 16) | A1D0 |
| Base 3 | 2002211020 |
| As time | 41424 seconds = 11 h 30 min 24 s |
Is 41424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41424 ÷ 2 = 20712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41424 ÷ 3 = 13808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41424 ÷ 4 = 10356) | 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 | Yes (41424 ÷ 6 = 6904) | 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 | Yes (41424 ÷ 8 = 5178) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41424 ÷ 12 = 3452) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41424 a prime number?
No. 41424 = × 3 × 863, so it is divisible by 2.
What are the factors of 41424?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 863, 1726, 2589, 3452, 5178, 6904, 10356, 13808, 20712, 41424.
What is 41424 in binary?
1010000111010000 (hexadecimal A1D0, octal 120720).
What is the square root of 41424?
About 203.5289, exactly 4√2589.
Is 41424 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41424?
It is a composite number with 20 divisors.