The number 42923
42923 is the 4486th prime number. Its only divisors are 1 and 42923.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42923: the 4486th prime number.
- 2
42923 is prime, so its only factors are 1 and 42923. It is the 4486th prime; the next prime is 42929 and the one before is 42901.
- 3
The divisors add up to 42924; without 42923 itself that is 1, so 42923 is deficient (1 is less than 42923). Euler's totient φ(42923) = 42922 numbers up to 42923 share no factor with it.
- 4
The digits of 42923 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 49 steps to reach 1.
42923 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42924 |
| Euler totient φ(n) | 42922 |
| Square | 1842383929 |
| Cube | 79080645384467 |
| Square root | 207.178667 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2923 × |
42923 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twenty-three |
| Binary (base 2) | 1010011110101011 |
| Octal (base 8) | 123653 |
| Hexadecimal (base 16) | A7AB |
| Base 3 | 2011212202 |
| As time | 42923 seconds = 11 h 55 min 23 s |
Is 42923 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 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 6) | 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 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 1) | 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 42923 a prime number?
Yes. 42923 is divisible only by 1 and itself.
What are the factors of 42923?
1, 42923.
What is 42923 in binary?
1010011110101011 (hexadecimal A7AB, octal 123653).
What is the square root of 42923?
About 207.1787.
Is 42923 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42923?
42923 is the 4486th prime number.