The number 41680
41680 is a composite number with 20 divisors. Its prime factorisation is × 5 × 521. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 521, 1042, 2084, 2605, 4168, 5210 … 41680.
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How to work it out
- 1
41680 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41680 is composite. Its prime factorisation is
- 3
The divisors add up to 97092; without 41680 itself that is 55412, so 41680 is abundant (55412 is more than 41680). Euler's totient φ(41680) = 16640 numbers up to 41680 share no factor with it.
- 4
The digits of 41680 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41680 = 2^{4} \times 5 \times 521 \]41680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 97092 |
| Euler totient φ(n) | 16640 |
| Square | 1737222400 |
| Cube | 72407429632000 |
| Square root | 204.156802 (= 4√2605) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.168 × |
41680 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and eighty |
| Binary (base 2) | 1010001011010000 |
| Octal (base 8) | 121320 |
| Hexadecimal (base 16) | A2D0 |
| Base 3 | 2010011201 |
| As time | 41680 seconds = 11 h 34 min 40 s |
Is 41680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41680 ÷ 2 = 20840) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41680 ÷ 4 = 10420) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41680 ÷ 5 = 8336) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (41680 ÷ 8 = 5210) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41680 ÷ 10 = 4168) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41680 a prime number?
No. 41680 = × 5 × 521, so it is divisible by 2.
What are the factors of 41680?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 521, 1042, 2084, 2605, 4168, 5210, 8336, 10420, 20840, 41680.
What is 41680 in binary?
1010001011010000 (hexadecimal A2D0, octal 121320).
What is the square root of 41680?
About 204.1568, exactly 4√2605.
Is 41680 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 41680?
It is a composite number with 20 divisors.