The number 42248
42248 is a composite number with 8 divisors. Its prime factorisation is × 5281. Divisors (8): 1, 2, 4, 8, 5281, 10562, 21124, 42248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42248 is composite. Its prime factorisation is
- 3
The divisors add up to 79230; without 42248 itself that is 36982, so 42248 is deficient (36982 is less than 42248). Euler's totient φ(42248) = 21120 numbers up to 42248 share no factor with it.
- 4
The digits of 42248 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42248 = 2^{3} \times 5281 \]42248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79230 |
| Euler totient φ(n) | 21120 |
| Square | 1784893504 |
| Cube | 75408180756992 |
| Square root | 205.543183 (= 2√10562) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2248 × |
42248 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and forty-eight |
| Binary (base 2) | 1010010100001000 |
| Octal (base 8) | 122410 |
| Hexadecimal (base 16) | A508 |
| Base 3 | 2010221202 |
| As time | 42248 seconds = 11 h 44 min 8 s |
Is 42248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42248 ÷ 2 = 21124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42248 ÷ 4 = 10562) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (42248 ÷ 8 = 5281) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42248 a prime number?
No. 42248 = × 5281, so it is divisible by 2.
What are the factors of 42248?
1, 2, 4, 8, 5281, 10562, 21124, 42248.
What is 42248 in binary?
1010010100001000 (hexadecimal A508, octal 122410).
What is the square root of 42248?
About 205.5432, exactly 2√10562.
Is 42248 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42248?
It is a composite number with 8 divisors.