The number 41409
41409 is a composite number with 12 divisors. Its prime factorisation is × 43 × 107. Divisors (12): 1, 3, 9, 43, 107, 129, 321, 387, 963, 4601, 13803, 41409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41409 is composite. Its prime factorisation is
- 3
The divisors add up to 61776; without 41409 itself that is 20367, so 41409 is deficient (20367 is less than 41409). Euler's totient φ(41409) = 26712 numbers up to 41409 share no factor with it.
- 4
The digits of 41409 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41409 = 3^{2} \times 43 \times 107 \]41409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61776 |
| Euler totient φ(n) | 26712 |
| Square | 1714705281 |
| Cube | 71004230980929 |
| Square root | 203.492015 (= 3√4601) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1409 × |
41409 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and nine |
| Binary (base 2) | 1010000111000001 |
| Octal (base 8) | 120701 |
| Hexadecimal (base 16) | A1C1 |
| Base 3 | 2002210200 |
| As time | 41409 seconds = 11 h 30 min 9 s |
Is 41409 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 (41409 ÷ 3 = 13803) | 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 | No (remainder 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41409 ÷ 9 = 4601) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 41409 a prime number?
No. 41409 = × 43 × 107, so it is divisible by 3.
What are the factors of 41409?
1, 3, 9, 43, 107, 129, 321, 387, 963, 4601, 13803, 41409.
What is 41409 in binary?
1010000111000001 (hexadecimal A1C1, octal 120701).
What is the square root of 41409?
About 203.4920, exactly 3√4601.
Is 41409 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41409?
It is a composite number with 12 divisors.