The number 42467
42467 is the 4443rd prime number. Its only divisors are 1 and 42467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42467: the 4443rd prime number.
- 2
42467 is prime, so its only factors are 1 and 42467. It is the 4443rd prime; the next prime is 42473 and the one before is 42463.
- 3
The divisors add up to 42468; without 42467 itself that is 1, so 42467 is deficient (1 is less than 42467). Euler's totient φ(42467) = 42466 numbers up to 42467 share no factor with it.
- 4
The digits of 42467 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 31 steps to reach 1.
42467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42468 |
| Euler totient φ(n) | 42466 |
| Square | 1803446089 |
| Cube | 76586945061563 |
| Square root | 206.075229 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2467 × |
42467 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-seven |
| Binary (base 2) | 1010010111100011 |
| Octal (base 8) | 122743 |
| Hexadecimal (base 16) | A5E3 |
| Base 3 | 2011020212 |
| As time | 42467 seconds = 11 h 47 min 47 s |
Is 42467 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 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 3) | 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 7) | 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 42467 a prime number?
Yes. 42467 is divisible only by 1 and itself.
What are the factors of 42467?
1, 42467.
What is 42467 in binary?
1010010111100011 (hexadecimal A5E3, octal 122743).
What is the square root of 42467?
About 206.0752.
Is 42467 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42467?
42467 is the 4443rd prime number.