The number 41990
41990 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 13 × 17 × 19. Divisors (32): 1, 2, 5, 10, 13, 17, 19, 26, 34, 38, 65, 85, 95, 130, 170, 190 … 41990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41990 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 41990 itself that is 48730, so 41990 is abundant (48730 is more than 41990). Euler's totient φ(41990) = 13824 numbers up to 41990 share no factor with it.
- 4
The digits of 41990 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41990 = 2 \times 5 \times 13 \times 17 \times 19 \]
41990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 13824 |
| Square | 1763160100 |
| Cube | 74035092599000 |
| Square root | 204.914616 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.199 × |
41990 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and ninety |
| Binary (base 2) | 1010010000000110 |
| Octal (base 8) | 122006 |
| Hexadecimal (base 16) | A406 |
| Base 3 | 2010121012 |
| As time | 41990 seconds = 11 h 39 min 50 s |
Is 41990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41990 ÷ 2 = 20995) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41990 ÷ 5 = 8398) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41990 ÷ 10 = 4199) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41990 a prime number?
No. 41990 = 2 × 5 × 13 × 17 × 19, so it is divisible by 2.
What are the factors of 41990?
1, 2, 5, 10, 13, 17, 19, 26, 34, 38, 65, 85, 95, 130, 170, 190, 221, 247, 323, 442, 494, 646, 1105, 1235, 1615, 2210, 2470, 3230, 4199, 8398, 20995, 41990.
What is 41990 in binary?
1010010000000110 (hexadecimal A406, octal 122006).
What is the square root of 41990?
About 204.9146.
Is 41990 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 41990?
It is a composite number with 32 divisors.