The number 42441
42441 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 43 × 47. Divisors (16): 1, 3, 7, 21, 43, 47, 129, 141, 301, 329, 903, 987, 2021, 6063, 14147, 42441.
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How to work it out
- 1
42441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42441 is composite. Its prime factorisation is
- 3
The divisors add up to 67584; without 42441 itself that is 25143, so 42441 is deficient (25143 is less than 42441). Euler's totient φ(42441) = 23184 numbers up to 42441 share no factor with it.
- 4
The digits of 42441 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42441 = 3 \times 7 \times 43 \times 47 \]
42441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67584 |
| Euler totient φ(n) | 23184 |
| Square | 1801238481 |
| Cube | 76446362372121 |
| Square root | 206.012136 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2441 × |
42441 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and forty-one |
| Binary (base 2) | 1010010111001001 |
| Octal (base 8) | 122711 |
| Hexadecimal (base 16) | A5C9 |
| Base 3 | 2011012220 |
| As time | 42441 seconds = 11 h 47 min 21 s |
Is 42441 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 (42441 ÷ 3 = 14147) | 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 1) | 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 | Yes (42441 ÷ 7 = 6063) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42441 a prime number?
No. 42441 = 3 × 7 × 43 × 47, so it is divisible by 3.
What are the factors of 42441?
1, 3, 7, 21, 43, 47, 129, 141, 301, 329, 903, 987, 2021, 6063, 14147, 42441.
What is 42441 in binary?
1010010111001001 (hexadecimal A5C9, octal 122711).
What is the square root of 42441?
About 206.0121.
Is 42441 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42441?
It is a composite number with 16 divisors.