The number 24671
24671 is the 2731st prime number. Its only divisors are 1 and 24671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24671: the 2731st prime number.
- 2
24671 is prime, so its only factors are 1 and 24671. It is the 2731st prime; the next prime is 24677 and the one before is 24659.
- 3
The divisors add up to 24672; without 24671 itself that is 1, so 24671 is deficient (1 is less than 24671). Euler's totient φ(24671) = 24670 numbers up to 24671 share no factor with it.
- 4
The digits of 24671 add up to 20, 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.
24671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24672 |
| Euler totient φ(n) | 24670 |
| Square | 608658241 |
| Cube | 15016207463711 |
| Square root | 157.070048 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4671 × |
24671 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and seventy-one |
| Binary (base 2) | 110000001011111 |
| Octal (base 8) | 60137 |
| Hexadecimal (base 16) | 605F |
| Base 3 | 1020211202 |
| As time | 24671 seconds = 6 h 51 min 11 s |
Is 24671 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 1) | 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 3) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 24671 a prime number?
Yes. 24671 is divisible only by 1 and itself.
What are the factors of 24671?
1, 24671.
What is 24671 in binary?
110000001011111 (hexadecimal 605F, octal 60137).
What is the square root of 24671?
About 157.0700.
Is 24671 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 24671?
24671 is the 2731st prime number.