The number 41136
41136 is a composite number with 20 divisors. Its prime factorisation is × 3 × 857. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 857, 1714, 2571, 3428, 5142, 6856 … 41136.
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How to work it out
- 1
41136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41136 is composite. Its prime factorisation is
- 3
The divisors add up to 106392; without 41136 itself that is 65256, so 41136 is abundant (65256 is more than 41136). Euler's totient φ(41136) = 13696 numbers up to 41136 share no factor with it.
- 4
The digits of 41136 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41136 = 2^{4} \times 3 \times 857 \]41136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 106392 |
| Euler totient φ(n) | 13696 |
| Square | 1692170496 |
| Cube | 69609125523456 |
| Square root | 202.820117 (= 4√2571) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1136 × |
41136 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and thirty-six |
| Binary (base 2) | 1010000010110000 |
| Octal (base 8) | 120260 |
| Hexadecimal (base 16) | A0B0 |
| Base 3 | 2002102120 |
| As time | 41136 seconds = 11 h 25 min 36 s |
Is 41136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41136 ÷ 2 = 20568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41136 ÷ 3 = 13712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41136 ÷ 4 = 10284) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41136 ÷ 6 = 6856) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (41136 ÷ 8 = 5142) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41136 ÷ 12 = 3428) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41136 a prime number?
No. 41136 = × 3 × 857, so it is divisible by 2.
What are the factors of 41136?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 857, 1714, 2571, 3428, 5142, 6856, 10284, 13712, 20568, 41136.
What is 41136 in binary?
1010000010110000 (hexadecimal A0B0, octal 120260).
What is the square root of 41136?
About 202.8201, exactly 4√2571.
Is 41136 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41136?
It is a composite number with 20 divisors.