The number 42101
42101 is the 4403rd prime number. Its only divisors are 1 and 42101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42101: the 4403rd prime number.
- 2
42101 is prime, so its only factors are 1 and 42101. It is the 4403rd prime; the next prime is 42131 and the one before is 42089.
- 3
The divisors add up to 42102; without 42101 itself that is 1, so 42101 is deficient (1 is less than 42101). Euler's totient φ(42101) = 42100 numbers up to 42101 share no factor with it.
- 4
The digits of 42101 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 194 steps to reach 1.
42101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42102 |
| Euler totient φ(n) | 42100 |
| Square | 1772494201 |
| Cube | 74623778356301 |
| Square root | 205.185282 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2101 × |
42101 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and one |
| Binary (base 2) | 1010010001110101 |
| Octal (base 8) | 122165 |
| Hexadecimal (base 16) | A475 |
| Base 3 | 2010202022 |
| As time | 42101 seconds = 11 h 41 min 41 s |
Is 42101 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42101 a prime number?
Yes. 42101 is divisible only by 1 and itself.
What are the factors of 42101?
1, 42101.
What is 42101 in binary?
1010010001110101 (hexadecimal A475, octal 122165).
What is the square root of 42101?
About 205.1853.
Is 42101 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 42101?
42101 is the 4403rd prime number.