The number 42448
42448 is a composite number with 20 divisors. Its prime factorisation is × 7 × 379. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 379, 758, 1516, 2653, 3032, 5306 … 42448.
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How to work it out
- 1
42448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42448 is composite. Its prime factorisation is
- 3
The divisors add up to 94240; without 42448 itself that is 51792, so 42448 is abundant (51792 is more than 42448). Euler's totient φ(42448) = 18144 numbers up to 42448 share no factor with it.
- 4
The digits of 42448 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42448 = 2^{4} \times 7 \times 379 \]42448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 94240 |
| Euler totient φ(n) | 18144 |
| Square | 1801832704 |
| Cube | 76484194619392 |
| Square root | 206.029124 (= 4√2653) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2448 × |
42448 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and forty-eight |
| Binary (base 2) | 1010010111010000 |
| Octal (base 8) | 122720 |
| Hexadecimal (base 16) | A5D0 |
| Base 3 | 2011020011 |
| As time | 42448 seconds = 11 h 47 min 28 s |
Is 42448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42448 ÷ 2 = 21224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42448 ÷ 4 = 10612) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42448 ÷ 7 = 6064) | 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 | Yes (42448 ÷ 8 = 5306) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42448 a prime number?
No. 42448 = × 7 × 379, so it is divisible by 2.
What are the factors of 42448?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 379, 758, 1516, 2653, 3032, 5306, 6064, 10612, 21224, 42448.
What is 42448 in binary?
1010010111010000 (hexadecimal A5D0, octal 122720).
What is the square root of 42448?
About 206.0291, exactly 4√2653.
Is 42448 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42448?
It is a composite number with 20 divisors.