The number 42061
42061 is the 4398th prime number. Its only divisors are 1 and 42061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42061: the 4398th prime number.
- 2
42061 is prime, so its only factors are 1 and 42061. It is the 4398th prime; the next prime is 42071 and the one before is 42043.
- 3
The divisors add up to 42062; without 42061 itself that is 1, so 42061 is deficient (1 is less than 42061). Euler's totient φ(42061) = 42060 numbers up to 42061 share no factor with it.
- 4
The digits of 42061 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
42061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42062 |
| Euler totient φ(n) | 42060 |
| Square | 1769127721 |
| Cube | 74411281072981 |
| Square root | 205.087786 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2061 × |
42061 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty-one |
| Binary (base 2) | 1010010001001101 |
| Octal (base 8) | 122115 |
| Hexadecimal (base 16) | A44D |
| Base 3 | 2010200211 |
| As time | 42061 seconds = 11 h 41 min 1 s |
Is 42061 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42061 a prime number?
Yes. 42061 is divisible only by 1 and itself.
What are the factors of 42061?
1, 42061.
What is 42061 in binary?
1010010001001101 (hexadecimal A44D, octal 122115).
What is the square root of 42061?
About 205.0878.
Is 42061 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42061?
42061 is the 4398th prime number.