The number 42020
42020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 191. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 191, 220, 382, 764, 955 … 42020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42020 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 42020 itself that is 54748, so 42020 is abundant (54748 is more than 42020). Euler's totient φ(42020) = 15200 numbers up to 42020 share no factor with it.
- 4
The digits of 42020 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42020 = 2^{2} \times 5 \times 11 \times 191 \]42020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 15200 |
| Square | 1765680400 |
| Cube | 74193890408000 |
| Square root | 204.987805 (= 2√10505) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.202 × |
42020 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and twenty |
| Binary (base 2) | 1010010000100100 |
| Octal (base 8) | 122044 |
| Hexadecimal (base 16) | A424 |
| Base 3 | 2010122022 |
| As time | 42020 seconds = 11 h 40 min 20 s |
Is 42020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42020 ÷ 2 = 21010) | 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 (42020 ÷ 4 = 10505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42020 ÷ 5 = 8404) | 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 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42020 ÷ 10 = 4202) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42020 ÷ 11 = 3820) | 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 42020 a prime number?
No. 42020 = × 5 × 11 × 191, so it is divisible by 2.
What are the factors of 42020?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 191, 220, 382, 764, 955, 1910, 2101, 3820, 4202, 8404, 10505, 21010, 42020.
What is 42020 in binary?
1010010000100100 (hexadecimal A424, octal 122044).
What is the square root of 42020?
About 204.9878, exactly 2√10505.
Is 42020 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 42020?
It is a composite number with 24 divisors.