The number 42548
42548 is a composite number with 12 divisors. Its prime factorisation is × 11 × 967. Divisors (12): 1, 2, 4, 11, 22, 44, 967, 1934, 3868, 10637, 21274, 42548.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42548 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42548 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 42548 itself that is 38764, so 42548 is deficient (38764 is less than 42548). Euler's totient φ(42548) = 19320 numbers up to 42548 share no factor with it.
- 4
The digits of 42548 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42548 = 2^{2} \times 11 \times 967 \]42548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 19320 |
| Square | 1810332304 |
| Cube | 77026018870592 |
| Square root | 206.271666 (= 2√10637) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2548 × |
42548 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and forty-eight |
| Binary (base 2) | 1010011000110100 |
| Octal (base 8) | 123064 |
| Hexadecimal (base 16) | A634 |
| Base 3 | 2011100212 |
| As time | 42548 seconds = 11 h 49 min 8 s |
Is 42548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42548 ÷ 2 = 21274) | 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 (42548 ÷ 4 = 10637) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (42548 ÷ 11 = 3868) | 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 42548 a prime number?
No. 42548 = × 11 × 967, so it is divisible by 2.
What are the factors of 42548?
1, 2, 4, 11, 22, 44, 967, 1934, 3868, 10637, 21274, 42548.
What is 42548 in binary?
1010011000110100 (hexadecimal A634, octal 123064).
What is the square root of 42548?
About 206.2717, exactly 2√10637.
Is 42548 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42548?
It is a composite number with 12 divisors.