The number 42373
42373 is the 4429th prime number. Its only divisors are 1 and 42373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42373: the 4429th prime number.
- 2
42373 is prime, so its only factors are 1 and 42373. It is the 4429th prime; the next prime is 42379 and the one before is 42359.
- 3
The divisors add up to 42374; without 42373 itself that is 1, so 42373 is deficient (1 is less than 42373). Euler's totient φ(42373) = 42372 numbers up to 42373 share no factor with it.
- 4
The digits of 42373 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
42373 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42374 |
| Euler totient φ(n) | 42372 |
| Square | 1795471129 |
| Cube | 76079498149117 |
| Square root | 205.847031 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2373 × |
42373 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventy-three |
| Binary (base 2) | 1010010110000101 |
| Octal (base 8) | 122605 |
| Hexadecimal (base 16) | A585 |
| Base 3 | 2011010101 |
| As time | 42373 seconds = 11 h 46 min 13 s |
Is 42373 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 3) | 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 2) | 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 1) | 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 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 42373 a prime number?
Yes. 42373 is divisible only by 1 and itself.
What are the factors of 42373?
1, 42373.
What is 42373 in binary?
1010010110000101 (hexadecimal A585, octal 122605).
What is the square root of 42373?
About 205.8470.
Is 42373 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42373?
42373 is the 4429th prime number.