The number 42473
42473 is the 4444th prime number. Its only divisors are 1 and 42473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42473: the 4444th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42473 is prime, so its only factors are 1 and 42473. It is the 4444th prime; the next prime is 42487 and the one before is 42467.
- 3
The divisors add up to 42474; without 42473 itself that is 1, so 42473 is deficient (1 is less than 42473). Euler's totient φ(42473) = 42472 numbers up to 42473 share no factor with it.
- 4
The digits of 42473 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
42473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42474 |
| Euler totient φ(n) | 42472 |
| Square | 1803955729 |
| Cube | 76619411677817 |
| Square root | 206.089786 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2473 × |
42473 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and seventy-three |
| Binary (base 2) | 1010010111101001 |
| Octal (base 8) | 122751 |
| Hexadecimal (base 16) | A5E9 |
| Base 3 | 2011021002 |
| As time | 42473 seconds = 11 h 47 min 53 s |
Is 42473 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 3) | 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 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42473 a prime number?
Yes. 42473 is divisible only by 1 and itself.
What are the factors of 42473?
1, 42473.
What is 42473 in binary?
1010010111101001 (hexadecimal A5E9, octal 122751).
What is the square root of 42473?
About 206.0898.
Is 42473 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42473?
42473 is the 4444th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.