The number 24421
24421 is a twin prime (24419 and 24421 are both prime) and the 2712th prime number. Its only divisors are 1 and 24421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24421: a twin prime (24419 and 24421 are both prime); the 2712th prime number.
- 2
24421 is prime, so its only factors are 1 and 24421. It is the 2712th prime; the next prime is 24439 and the one before is 24419.
- 3
The divisors add up to 24422; without 24421 itself that is 1, so 24421 is deficient (1 is less than 24421). Euler's totient φ(24421) = 24420 numbers up to 24421 share no factor with it.
- 4
The digits of 24421 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
24421 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24422 |
| Euler totient φ(n) | 24420 |
| Square | 596385241 |
| Cube | 14564323970461 |
| Square root | 156.272198 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.4421 × |
24421 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and twenty-one |
| Binary (base 2) | 101111101100101 |
| Octal (base 8) | 57545 |
| Hexadecimal (base 16) | 5F65 |
| Base 3 | 1020111111 |
| As time | 24421 seconds = 6 h 47 min 1 s |
Is 24421 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 1) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24421 a prime number?
Yes. 24421 is divisible only by 1 and itself.
What are the factors of 24421?
1, 24421.
What is 24421 in binary?
101111101100101 (hexadecimal 5F65, octal 57545).
What is the square root of 24421?
About 156.2722.
Is 24421 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24421?
24421 is a twin prime (24419 and 24421 are both prime); the 2712th prime number.