The number 41601
41601 is a composite number with 12 divisors. Its prime factorisation is 3 × × 283. Divisors (12): 1, 3, 7, 21, 49, 147, 283, 849, 1981, 5943, 13867, 41601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41601 is composite. Its prime factorisation is
- 3
The divisors add up to 64752; without 41601 itself that is 23151, so 41601 is deficient (23151 is less than 41601). Euler's totient φ(41601) = 23688 numbers up to 41601 share no factor with it.
- 4
The digits of 41601 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41601 = 3 \times 7^{2} \times 283 \]41601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64752 |
| Euler totient φ(n) | 23688 |
| Square | 1730643201 |
| Cube | 71996487804801 |
| Square root | 203.963232 (= 7√849) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1601 × |
41601 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and one |
| Binary (base 2) | 1010001010000001 |
| Octal (base 8) | 121201 |
| Hexadecimal (base 16) | A281 |
| Base 3 | 2010001210 |
| As time | 41601 seconds = 11 h 33 min 21 s |
Is 41601 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41601 ÷ 3 = 13867) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41601 ÷ 7 = 5943) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41601 a prime number?
No. 41601 = 3 × × 283, so it is divisible by 3.
What are the factors of 41601?
1, 3, 7, 21, 49, 147, 283, 849, 1981, 5943, 13867, 41601.
What is 41601 in binary?
1010001010000001 (hexadecimal A281, octal 121201).
What is the square root of 41601?
About 203.9632, exactly 7√849.
Is 41601 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 41601?
It is a composite number with 12 divisors.