The number 42050
42050 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 841, 1450, 1682, 4205, 8410 … 42050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42050 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42050 is composite. Its prime factorisation is
- 3
The divisors add up to 81003; without 42050 itself that is 38953, so 42050 is deficient (38953 is less than 42050). Euler's totient φ(42050) = 16240 numbers up to 42050 share no factor with it.
- 4
The digits of 42050 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42050 = 2 \times 5^{2} \times 29^{2} \]42050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 81003 |
| Euler totient φ(n) | 16240 |
| Square | 1768202500 |
| Cube | 74352915125000 |
| Square root | 205.060967 (= 145√2) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.205 × |
42050 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and fifty |
| Binary (base 2) | 1010010001000010 |
| Octal (base 8) | 122102 |
| Hexadecimal (base 16) | A442 |
| Base 3 | 2010200102 |
| As time | 42050 seconds = 11 h 40 min 50 s |
Is 42050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42050 ÷ 2 = 21025) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42050 ÷ 5 = 8410) | 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 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 2) | 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 | Yes (42050 ÷ 10 = 4205) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42050 a prime number?
No. 42050 = 2 × × , so it is divisible by 2.
What are the factors of 42050?
1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 841, 1450, 1682, 4205, 8410, 21025, 42050.
What is 42050 in binary?
1010010001000010 (hexadecimal A442, octal 122102).
What is the square root of 42050?
About 205.0610, exactly 145√2.
Is 42050 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42050?
It is a composite number with 18 divisors.