The number 3023
3023 is the 434th prime number. Its only divisors are 1 and 3023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3023: the 434th prime number.
- 2
3023 is prime, so its only factors are 1 and 3023. It is the 434th prime; the next prime is 3037 and the one before is 3019.
- 3
The divisors add up to 3024; without 3023 itself that is 1, so 3023 is deficient (1 is less than 3023). Euler's totient φ(3023) = 3022 numbers up to 3023 share no factor with it.
- 4
The digits of 3023 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
3023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 3022 |
| Square | 9138529 |
| Cube | 27625773167 |
| Square root | 54.981815 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.023 × |
3023 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twenty-three |
| Roman numerals | MMMXXIII |
| Binary (base 2) | 101111001111 |
| Octal (base 8) | 5717 |
| Hexadecimal (base 16) | BCF |
| Base 3 | 11010222 |
| As time | 3023 seconds = 50 min 23 s |
Is 3023 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 3023 a prime number?
Yes. 3023 is divisible only by 1 and itself.
What are the factors of 3023?
1, 3023.
What is 3023 in binary?
101111001111 (hexadecimal BCF, octal 5717).
What is the square root of 3023?
About 54.9818.
What is 3023 in Roman numerals?
MMMXXIII.
Is 3023 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3023?
3023 is the 434th prime number.