The number 24971
24971 is the 2759th prime number. Its only divisors are 1 and 24971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24971: the 2759th prime number.
- 2
24971 is prime, so its only factors are 1 and 24971. It is the 2759th prime; the next prime is 24977 and the one before is 24967.
- 3
The divisors add up to 24972; without 24971 itself that is 1, so 24971 is deficient (1 is less than 24971). Euler's totient φ(24971) = 24970 numbers up to 24971 share no factor with it.
- 4
The digits of 24971 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 201 steps to reach 1.
24971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24972 |
| Euler totient φ(n) | 24970 |
| Square | 623550841 |
| Cube | 15570688050611 |
| Square root | 158.022150 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 201 |
| Scientific notation | 2.4971 × |
24971 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and seventy-one |
| Binary (base 2) | 110000110001011 |
| Octal (base 8) | 60613 |
| Hexadecimal (base 16) | 618B |
| Base 3 | 1021020212 |
| As time | 24971 seconds = 6 h 56 min 11 s |
Is 24971 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 2) | 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24971 a prime number?
Yes. 24971 is divisible only by 1 and itself.
What are the factors of 24971?
1, 24971.
What is 24971 in binary?
110000110001011 (hexadecimal 618B, octal 60613).
What is the square root of 24971?
About 158.0222.
Is 24971 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 24971?
24971 is the 2759th prime number.