The number 42197
42197 is the 4412th prime number. Its only divisors are 1 and 42197.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42197: the 4412th prime number.
- 2
42197 is prime, so its only factors are 1 and 42197. It is the 4412th prime; the next prime is 42209 and the one before is 42193.
- 3
The divisors add up to 42198; without 42197 itself that is 1, so 42197 is deficient (1 is less than 42197). Euler's totient φ(42197) = 42196 numbers up to 42197 share no factor with it.
- 4
The digits of 42197 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
42197 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42198 |
| Euler totient φ(n) | 42196 |
| Square | 1780586809 |
| Cube | 75135421579373 |
| Square root | 205.419084 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2197 × |
42197 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety-seven |
| Binary (base 2) | 1010010011010101 |
| Octal (base 8) | 122325 |
| Hexadecimal (base 16) | A4D5 |
| Base 3 | 2010212212 |
| As time | 42197 seconds = 11 h 43 min 17 s |
Is 42197 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 2) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42197 a prime number?
Yes. 42197 is divisible only by 1 and itself.
What are the factors of 42197?
1, 42197.
What is 42197 in binary?
1010010011010101 (hexadecimal A4D5, octal 122325).
What is the square root of 42197?
About 205.4191.
Is 42197 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42197?
42197 is the 4412th prime number.