The number 24049
24049 is the 2675th prime number. Its only divisors are 1 and 24049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24049: the 2675th prime number.
- 2
24049 is prime, so its only factors are 1 and 24049. It is the 2675th prime; the next prime is 24061 and the one before is 24043.
- 3
The divisors add up to 24050; without 24049 itself that is 1, so 24049 is deficient (1 is less than 24049). Euler's totient φ(24049) = 24048 numbers up to 24049 share no factor with it.
- 4
The digits of 24049 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
24049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24050 |
| Euler totient φ(n) | 24048 |
| Square | 578354401 |
| Cube | 13908844989649 |
| Square root | 155.077400 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4049 × |
24049 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and forty-nine |
| Binary (base 2) | 101110111110001 |
| Octal (base 8) | 56761 |
| Hexadecimal (base 16) | 5DF1 |
| Base 3 | 1012222201 |
| As time | 24049 seconds = 6 h 40 min 49 s |
Is 24049 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 4) | 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 1) | 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 3) | 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 24049 a prime number?
Yes. 24049 is divisible only by 1 and itself.
What are the factors of 24049?
1, 24049.
What is 24049 in binary?
101110111110001 (hexadecimal 5DF1, octal 56761).
What is the square root of 24049?
About 155.0774.
Is 24049 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 24049?
24049 is the 2675th prime number.