The number 24371
24371 is a twin prime (24371 and 24373 are both prime) and the 2705th prime number. Its only divisors are 1 and 24371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24371: a twin prime (24371 and 24373 are both prime); the 2705th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24371 is prime, so its only factors are 1 and 24371. It is the 2705th prime; the next prime is 24373 and the one before is 24359.
- 3
The divisors add up to 24372; without 24371 itself that is 1, so 24371 is deficient (1 is less than 24371). Euler's totient φ(24371) = 24370 numbers up to 24371 share no factor with it.
- 4
The digits of 24371 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
24371 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24372 |
| Euler totient φ(n) | 24370 |
| Square | 593945641 |
| Cube | 14475049216811 |
| Square root | 156.112139 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.4371 × |
24371 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and seventy-one |
| Binary (base 2) | 101111100110011 |
| Octal (base 8) | 57463 |
| Hexadecimal (base 16) | 5F33 |
| Base 3 | 1020102122 |
| As time | 24371 seconds = 6 h 46 min 11 s |
Is 24371 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 24371 a prime number?
Yes. 24371 is divisible only by 1 and itself.
What are the factors of 24371?
1, 24371.
What is 24371 in binary?
101111100110011 (hexadecimal 5F33, octal 57463).
What is the square root of 24371?
About 156.1121.
Is 24371 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24371?
24371 is a twin prime (24371 and 24373 are both prime); the 2705th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.