The number 24029
24029 is the 2673rd prime number and a binary palindrome (101110111011101). Its only divisors are 1 and 24029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24029: the 2673rd prime number; a binary palindrome (101110111011101).
- 2
24029 is prime, so its only factors are 1 and 24029. It is the 2673rd prime; the next prime is 24043 and the one before is 24023.
- 3
The divisors add up to 24030; without 24029 itself that is 1, so 24029 is deficient (1 is less than 24029). Euler's totient φ(24029) = 24028 numbers up to 24029 share no factor with it.
- 4
The digits of 24029 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
24029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24030 |
| Euler totient φ(n) | 24028 |
| Square | 577392841 |
| Cube | 13874172576389 |
| Square root | 155.012903 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4029 × |
24029 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and twenty-nine |
| Binary (base 2) | 101110111011101 |
| Octal (base 8) | 56735 |
| Hexadecimal (base 16) | 5DDD |
| Base 3 | 1012221222 |
| As time | 24029 seconds = 6 h 40 min 29 s |
Is 24029 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 4) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 24029 a prime number?
Yes. 24029 is divisible only by 1 and itself.
What are the factors of 24029?
1, 24029.
What is 24029 in binary?
101110111011101 (hexadecimal 5DDD, octal 56735).
What is the square root of 24029?
About 155.0129.
Is 24029 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24029?
24029 is the 2673rd prime number; a binary palindrome (101110111011101).