The number 24109
24109 is a twin prime (24107 and 24109 are both prime) and the 2684th prime number. Its only divisors are 1 and 24109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24109: a twin prime (24107 and 24109 are both prime); the 2684th prime number.
- 2
24109 is prime, so its only factors are 1 and 24109. It is the 2684th prime; the next prime is 24113 and the one before is 24107.
- 3
The divisors add up to 24110; without 24109 itself that is 1, so 24109 is deficient (1 is less than 24109). Euler's totient φ(24109) = 24108 numbers up to 24109 share no factor with it.
- 4
The digits of 24109 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
24109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24110 |
| Euler totient φ(n) | 24108 |
| Square | 581243881 |
| Cube | 14013208727029 |
| Square root | 155.270731 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4109 × |
24109 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and nine |
| Binary (base 2) | 101111000101101 |
| Octal (base 8) | 57055 |
| Hexadecimal (base 16) | 5E2D |
| Base 3 | 1020001221 |
| As time | 24109 seconds = 6 h 41 min 49 s |
Is 24109 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24109 a prime number?
Yes. 24109 is divisible only by 1 and itself.
What are the factors of 24109?
1, 24109.
What is 24109 in binary?
101111000101101 (hexadecimal 5E2D, octal 57055).
What is the square root of 24109?
About 155.2707.
Is 24109 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24109?
24109 is a twin prime (24107 and 24109 are both prime); the 2684th prime number.