The number 23971
23971 is the 2665th prime number. Its only divisors are 1 and 23971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23971: the 2665th prime number.
- 2
23971 is prime, so its only factors are 1 and 23971. It is the 2665th prime; the next prime is 23977 and the one before is 23957.
- 3
The divisors add up to 23972; without 23971 itself that is 1, so 23971 is deficient (1 is less than 23971). Euler's totient φ(23971) = 23970 numbers up to 23971 share no factor with it.
- 4
The digits of 23971 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
23971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23972 |
| Euler totient φ(n) | 23970 |
| Square | 574608841 |
| Cube | 13773948527611 |
| Square root | 154.825708 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3971 × |
23971 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and seventy-one |
| Binary (base 2) | 101110110100011 |
| Octal (base 8) | 56643 |
| Hexadecimal (base 16) | 5DA3 |
| Base 3 | 1012212211 |
| As time | 23971 seconds = 6 h 39 min 31 s |
Is 23971 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 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 1) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23971 a prime number?
Yes. 23971 is divisible only by 1 and itself.
What are the factors of 23971?
1, 23971.
What is 23971 in binary?
101110110100011 (hexadecimal 5DA3, octal 56643).
What is the square root of 23971?
About 154.8257.
Is 23971 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 23971?
23971 is the 2665th prime number.