The number 42701
42701 is a twin prime (42701 and 42703 are both prime) and the 4464th prime number. Its only divisors are 1 and 42701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42701: a twin prime (42701 and 42703 are both prime); the 4464th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42701 is prime, so its only factors are 1 and 42701. It is the 4464th prime; the next prime is 42703 and the one before is 42697.
- 3
The divisors add up to 42702; without 42701 itself that is 1, so 42701 is deficient (1 is less than 42701). Euler's totient φ(42701) = 42700 numbers up to 42701 share no factor with it.
- 4
The digits of 42701 add up to 14, 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.
42701 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42702 |
| Euler totient φ(n) | 42700 |
| Square | 1823375401 |
| Cube | 77859952998101 |
| Square root | 206.642203 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2701 × |
42701 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and one |
| Binary (base 2) | 1010011011001101 |
| Octal (base 8) | 123315 |
| Hexadecimal (base 16) | A6CD |
| Base 3 | 2011120112 |
| As time | 42701 seconds = 11 h 51 min 41 s |
Is 42701 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 42701 a prime number?
Yes. 42701 is divisible only by 1 and itself.
What are the factors of 42701?
1, 42701.
What is 42701 in binary?
1010011011001101 (hexadecimal A6CD, octal 123315).
What is the square root of 42701?
About 206.6422.
Is 42701 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42701?
42701 is a twin prime (42701 and 42703 are both prime); the 4464th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.