The number 24113
24113 is the 2685th prime number. Its only divisors are 1 and 24113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24113: the 2685th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24113 is prime, so its only factors are 1 and 24113. It is the 2685th prime; the next prime is 24121 and the one before is 24109.
- 3
The divisors add up to 24114; without 24113 itself that is 1, so 24113 is deficient (1 is less than 24113). Euler's totient φ(24113) = 24112 numbers up to 24113 share no factor with it.
- 4
The digits of 24113 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 188 steps to reach 1.
24113 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24114 |
| Euler totient φ(n) | 24112 |
| Square | 581436769 |
| Cube | 14020184810897 |
| Square root | 155.283611 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4113 × |
24113 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and thirteen |
| Binary (base 2) | 101111000110001 |
| Octal (base 8) | 57061 |
| Hexadecimal (base 16) | 5E31 |
| Base 3 | 1020002002 |
| As time | 24113 seconds = 6 h 41 min 53 s |
Is 24113 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 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 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24113 a prime number?
Yes. 24113 is divisible only by 1 and itself.
What are the factors of 24113?
1, 24113.
What is 24113 in binary?
101111000110001 (hexadecimal 5E31, octal 57061).
What is the square root of 24113?
About 155.2836.
Is 24113 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 24113?
24113 is the 2685th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.