The number 41998
41998 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 23 × 83. Divisors (16): 1, 2, 11, 22, 23, 46, 83, 166, 253, 506, 913, 1826, 1909, 3818, 20999, 41998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41998 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 41998 itself that is 30578, so 41998 is deficient (30578 is less than 41998). Euler's totient φ(41998) = 18040 numbers up to 41998 share no factor with it.
- 4
The digits of 41998 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41998 = 2 \times 11 \times 23 \times 83 \]
41998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 18040 |
| Square | 1763832004 |
| Cube | 74077416503992 |
| Square root | 204.934136 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1998 × |
41998 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and ninety-eight |
| Binary (base 2) | 1010010000001110 |
| Octal (base 8) | 122016 |
| Hexadecimal (base 16) | A40E |
| Base 3 | 2010121111 |
| As time | 41998 seconds = 11 h 39 min 58 s |
Is 41998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41998 ÷ 2 = 20999) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41998 ÷ 11 = 3818) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41998 a prime number?
No. 41998 = 2 × 11 × 23 × 83, so it is divisible by 2.
What are the factors of 41998?
1, 2, 11, 22, 23, 46, 83, 166, 253, 506, 913, 1826, 1909, 3818, 20999, 41998.
What is 41998 in binary?
1010010000001110 (hexadecimal A40E, octal 122016).
What is the square root of 41998?
About 204.9341.
Is 41998 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 41998?
It is a composite number with 16 divisors.