The number 42148
42148 is a composite number with 12 divisors. Its prime factorisation is × 41 × 257. Divisors (12): 1, 2, 4, 41, 82, 164, 257, 514, 1028, 10537, 21074, 42148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42148 is composite. Its prime factorisation is
- 3
The divisors add up to 75852; without 42148 itself that is 33704, so 42148 is deficient (33704 is less than 42148). Euler's totient φ(42148) = 20480 numbers up to 42148 share no factor with it.
- 4
The digits of 42148 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42148 = 2^{2} \times 41 \times 257 \]42148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75852 |
| Euler totient φ(n) | 20480 |
| Square | 1776453904 |
| Cube | 74873979145792 |
| Square root | 205.299781 (= 2√10537) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2148 × |
42148 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and forty-eight |
| Binary (base 2) | 1010010010100100 |
| Octal (base 8) | 122244 |
| Hexadecimal (base 16) | A4A4 |
| Base 3 | 2010211001 |
| As time | 42148 seconds = 11 h 42 min 28 s |
Is 42148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42148 ÷ 2 = 21074) | 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 (42148 ÷ 4 = 10537) | 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 | No (remainder 1) | 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 1) | 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 7) | 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 42148 a prime number?
No. 42148 = × 41 × 257, so it is divisible by 2.
What are the factors of 42148?
1, 2, 4, 41, 82, 164, 257, 514, 1028, 10537, 21074, 42148.
What is 42148 in binary?
1010010010100100 (hexadecimal A4A4, octal 122244).
What is the square root of 42148?
About 205.2998, exactly 2√10537.
Is 42148 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42148?
It is a composite number with 12 divisors.