The number 41624
41624 is a composite number with 24 divisors. Its prime factorisation is × × 43. Divisors (24): 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 121, 172, 242, 344, 473, 484 … 41624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41624 is composite. Its prime factorisation is
- 3
The divisors add up to 87780; without 41624 itself that is 46156, so 41624 is abundant (46156 is more than 41624). Euler's totient φ(41624) = 18480 numbers up to 41624 share no factor with it.
- 4
The digits of 41624 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 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41624 = 2^{3} \times 11^{2} \times 43 \]41624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87780 |
| Euler totient φ(n) | 18480 |
| Square | 1732557376 |
| Cube | 72115968218624 |
| Square root | 204.019607 (= 22√86) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.1624 × |
41624 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and twenty-four |
| Binary (base 2) | 1010001010011000 |
| Octal (base 8) | 121230 |
| Hexadecimal (base 16) | A298 |
| Base 3 | 2010002122 |
| As time | 41624 seconds = 11 h 33 min 44 s |
Is 41624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41624 ÷ 2 = 20812) | 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 (41624 ÷ 4 = 10406) | 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 2) | 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 (41624 ÷ 8 = 5203) | 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 | Yes (41624 ÷ 11 = 3784) | 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 41624 a prime number?
No. 41624 = × × 43, so it is divisible by 2.
What are the factors of 41624?
1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 121, 172, 242, 344, 473, 484, 946, 968, 1892, 3784, 5203, 10406, 20812, 41624.
What is 41624 in binary?
1010001010011000 (hexadecimal A298, octal 121230).
What is the square root of 41624?
About 204.0196, exactly 22√86.
Is 41624 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41624?
It is a composite number with 24 divisors.