The number 41987
41987 is a composite number with 6 divisors. Its prime factorisation is Ć 347. Divisors (6): 1, 11, 121, 347, 3817, 41987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41987 is composite. Its prime factorisation is
- 3
The divisors add up to 46284; without 41987 itself that is 4297, so 41987 is deficient (4297 is less than 41987). Euler's totient Ļ(41987) = 38060 numbers up to 41987 share no factor with it.
- 4
The digits of 41987 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41987 = 11^{2} \times 347 \]41987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 46284 |
| Euler totient Ļ(n) | 38060 |
| Square | 1762908169 |
| Cube | 74019225291803 |
| Square root | 204.907296 (= 11ā347) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.1987 Ć |
41987 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and eighty-seven |
| Binary (base 2) | 1010010000000011 |
| Octal (base 8) | 122003 |
| Hexadecimal (base 16) | A403 |
| Base 3 | 2010121002 |
| As time | 41987 seconds = 11 h 39 min 47 s |
Is 41987 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41987 Ć· 11 = 3817) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41987 a prime number?
No. 41987 = Ć 347, so it is divisible by 11.
What are the factors of 41987?
1, 11, 121, 347, 3817, 41987.
What is 41987 in binary?
1010010000000011 (hexadecimal A403, octal 122003).
What is the square root of 41987?
About 204.9073, exactly 11ā347.
Is 41987 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 41987?
It is a composite number with 6 divisors.