The number 24023
24023 is the 2672nd prime number. Its only divisors are 1 and 24023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24023: the 2672nd prime number.
- 2
24023 is prime, so its only factors are 1 and 24023. It is the 2672nd prime; the next prime is 24029 and the one before is 24019.
- 3
The divisors add up to 24024; without 24023 itself that is 1, so 24023 is deficient (1 is less than 24023). Euler's totient φ(24023) = 24022 numbers up to 24023 share no factor with it.
- 4
The digits of 24023 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
24023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24024 |
| Euler totient φ(n) | 24022 |
| Square | 577104529 |
| Cube | 13863782100167 |
| Square root | 154.993548 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4023 × |
24023 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and twenty-three |
| Binary (base 2) | 101110111010111 |
| Octal (base 8) | 56727 |
| Hexadecimal (base 16) | 5DD7 |
| Base 3 | 1012221202 |
| As time | 24023 seconds = 6 h 40 min 23 s |
Is 24023 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 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 10) | 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 24023 a prime number?
Yes. 24023 is divisible only by 1 and itself.
What are the factors of 24023?
1, 24023.
What is 24023 in binary?
101110111010111 (hexadecimal 5DD7, octal 56727).
What is the square root of 24023?
About 154.9935.
Is 24023 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 24023?
24023 is the 2672nd prime number.