The number 41985
41985 is a composite number with 16 divisors. Its prime factorisation is × 5 × 311. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 311, 933, 1555, 2799, 4665, 8397, 13995, 41985.
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How to work it out
- 1
What is special about 41985: a Harshad number: divisible by its digit sum 27.
- 2
41985 is composite. Its prime factorisation is
- 3
The divisors add up to 74880; without 41985 itself that is 32895, so 41985 is deficient (32895 is less than 41985). Euler's totient φ(41985) = 22320 numbers up to 41985 share no factor with it.
- 4
The digits of 41985 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41985 = 3^{3} \times 5 \times 311 \]41985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74880 |
| Euler totient φ(n) | 22320 |
| Square | 1762740225 |
| Cube | 74008648346625 |
| Square root | 204.902416 (= 3√4665) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.1985 × |
41985 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and eighty-five |
| Binary (base 2) | 1010010000000001 |
| Octal (base 8) | 122001 |
| Hexadecimal (base 16) | A401 |
| Base 3 | 2010121000 |
| As time | 41985 seconds = 11 h 39 min 45 s |
Is 41985 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 | Yes (41985 ÷ 3 = 13995) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41985 ÷ 5 = 8397) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41985 ÷ 9 = 4665) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41985 a prime number?
No. 41985 = × 5 × 311, so it is divisible by 3.
What are the factors of 41985?
1, 3, 5, 9, 15, 27, 45, 135, 311, 933, 1555, 2799, 4665, 8397, 13995, 41985.
What is 41985 in binary?
1010010000000001 (hexadecimal A401, octal 122001).
What is the square root of 41985?
About 204.9024, exactly 3√4665.
Is 41985 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 41985?
41985 is a Harshad number: divisible by its digit sum 27.