The number 42901
42901 is a twin prime (42899 and 42901 are both prime) and the 4485th prime number. Its only divisors are 1 and 42901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42901: a twin prime (42899 and 42901 are both prime); the 4485th prime number.
- 2
42901 is prime, so its only factors are 1 and 42901. It is the 4485th prime; the next prime is 42923 and the one before is 42899.
- 3
The divisors add up to 42902; without 42901 itself that is 1, so 42901 is deficient (1 is less than 42901). Euler's totient φ(42901) = 42900 numbers up to 42901 share no factor with it.
- 4
The digits of 42901 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
42901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42902 |
| Euler totient φ(n) | 42900 |
| Square | 1840495801 |
| Cube | 78959110358701 |
| Square root | 207.125566 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2901 × |
42901 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and one |
| Binary (base 2) | 1010011110010101 |
| Octal (base 8) | 123625 |
| Hexadecimal (base 16) | A795 |
| Base 3 | 2011211221 |
| As time | 42901 seconds = 11 h 55 min 1 s |
Is 42901 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 7) | 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 1) | 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 42901 a prime number?
Yes. 42901 is divisible only by 1 and itself.
What are the factors of 42901?
1, 42901.
What is 42901 in binary?
1010011110010101 (hexadecimal A795, octal 123625).
What is the square root of 42901?
About 207.1256.
Is 42901 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42901?
42901 is a twin prime (42899 and 42901 are both prime); the 4485th prime number.