The number 41600
41600 is a composite number with 48 divisors. Its prime factorisation is × × 13. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64 … 41600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41600 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41600 is composite. Its prime factorisation is
- 3
The divisors add up to 110670; without 41600 itself that is 69070, so 41600 is abundant (69070 is more than 41600). Euler's totient φ(41600) = 15360 numbers up to 41600 share no factor with it.
- 4
The digits of 41600 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41600 = 2^{7} \times 5^{2} \times 13 \]41600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 110670 |
| Euler totient φ(n) | 15360 |
| Square | 1730560000 |
| Cube | 71991296000000 |
| Square root | 203.960781 (= 40√26) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.16 × |
41600 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred |
| Binary (base 2) | 1010001010000000 |
| Octal (base 8) | 121200 |
| Hexadecimal (base 16) | A280 |
| Base 3 | 2010001202 |
| As time | 41600 seconds = 11 h 33 min 20 s |
Is 41600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41600 ÷ 2 = 20800) | 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 (41600 ÷ 4 = 10400) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41600 ÷ 5 = 8320) | 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 6) | 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 (41600 ÷ 8 = 5200) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41600 ÷ 10 = 4160) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41600 a prime number?
No. 41600 = × × 13, so it is divisible by 2.
What are the factors of 41600?
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 128, 130, 160, 200, 208, 260, 320, 325, 400, 416, 520, 640, 650, 800, 832, 1040, 1300, 1600, 1664, 2080, 2600, 3200, 4160, 5200, 8320, 10400, 20800, 41600.
What is 41600 in binary?
1010001010000000 (hexadecimal A280, octal 121200).
What is the square root of 41600?
About 203.9608, exactly 40√26.
Is 41600 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 41600?
It is a composite number with 48 divisors.