The number 24107
24107 is a twin prime (24107 and 24109 are both prime) and the 2683rd prime number. Its only divisors are 1 and 24107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24107: a twin prime (24107 and 24109 are both prime); the 2683rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24107 is prime, so its only factors are 1 and 24107. It is the 2683rd prime; the next prime is 24109 and the one before is 24103.
- 3
The divisors add up to 24108; without 24107 itself that is 1, so 24107 is deficient (1 is less than 24107). Euler's totient φ(24107) = 24106 numbers up to 24107 share no factor with it.
- 4
The digits of 24107 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
24107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24108 |
| Euler totient φ(n) | 24106 |
| Square | 581147449 |
| Cube | 14009721553043 |
| Square root | 155.264291 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4107 × |
24107 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and seven |
| Binary (base 2) | 101111000101011 |
| Octal (base 8) | 57053 |
| Hexadecimal (base 16) | 5E2B |
| Base 3 | 1020001212 |
| As time | 24107 seconds = 6 h 41 min 47 s |
Is 24107 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 24107 a prime number?
Yes. 24107 is divisible only by 1 and itself.
What are the factors of 24107?
1, 24107.
What is 24107 in binary?
101111000101011 (hexadecimal 5E2B, octal 57053).
What is the square root of 24107?
About 155.2643.
Is 24107 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24107?
24107 is a twin prime (24107 and 24109 are both prime); the 2683rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.