The number 42407
42407 is a twin prime (42407 and 42409 are both prime) and the 4434th prime number. Its only divisors are 1 and 42407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42407: a twin prime (42407 and 42409 are both prime); the 4434th prime number.
- 2
42407 is prime, so its only factors are 1 and 42407. It is the 4434th prime; the next prime is 42409 and the one before is 42403.
- 3
The divisors add up to 42408; without 42407 itself that is 1, so 42407 is deficient (1 is less than 42407). Euler's totient φ(42407) = 42406 numbers up to 42407 share no factor with it.
- 4
The digits of 42407 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
42407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42408 |
| Euler totient φ(n) | 42406 |
| Square | 1798353649 |
| Cube | 76262783193143 |
| Square root | 205.929600 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2407 × |
42407 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and seven |
| Binary (base 2) | 1010010110100111 |
| Octal (base 8) | 122647 |
| Hexadecimal (base 16) | A5A7 |
| Base 3 | 2011011122 |
| As time | 42407 seconds = 11 h 46 min 47 s |
Is 42407 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 3) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42407 a prime number?
Yes. 42407 is divisible only by 1 and itself.
What are the factors of 42407?
1, 42407.
What is 42407 in binary?
1010010110100111 (hexadecimal A5A7, octal 122647).
What is the square root of 42407?
About 205.9296.
Is 42407 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42407?
42407 is a twin prime (42407 and 42409 are both prime); the 4434th prime number.