The number 41418
41418 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 59. Divisors (32): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 59, 78, 117, 118, 177 … 41418.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41418: a Harshad number: divisible by its digit sum 18.
- 2
41418 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 41418 itself that is 59382, so 41418 is abundant (59382 is more than 41418). Euler's totient φ(41418) = 12528 numbers up to 41418 share no factor with it.
- 4
The digits of 41418 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41418 = 2 \times 3^{3} \times 13 \times 59 \]41418 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 12528 |
| Square | 1715450724 |
| Cube | 71050538086632 |
| Square root | 203.514127 (= 3√4602) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1418 × |
41418 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and eighteen |
| Binary (base 2) | 1010000111001010 |
| Octal (base 8) | 120712 |
| Hexadecimal (base 16) | A1CA |
| Base 3 | 2002211000 |
| As time | 41418 seconds = 11 h 30 min 18 s |
Is 41418 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41418 ÷ 2 = 20709) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41418 ÷ 3 = 13806) | 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 | Yes (41418 ÷ 6 = 6903) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41418 ÷ 9 = 4602) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41418 a prime number?
No. 41418 = 2 × × 13 × 59, so it is divisible by 2.
What are the factors of 41418?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 59, 78, 117, 118, 177, 234, 351, 354, 531, 702, 767, 1062, 1534, 1593, 2301, 3186, 4602, 6903, 13806, 20709, 41418.
What is 41418 in binary?
1010000111001010 (hexadecimal A1CA, octal 120712).
What is the square root of 41418?
About 203.5141, exactly 3√4602.
Is 41418 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41418?
41418 is a Harshad number: divisible by its digit sum 18.