The number 2371
2371 is the 351st prime number. Its only divisors are 1 and 2371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2371: the 351st prime number.
- 2
2371 is prime, so its only factors are 1 and 2371. It is the 351st prime; the next prime is 2377 and the one before is 2357.
- 3
The divisors add up to 2372; without 2371 itself that is 1, so 2371 is deficient (1 is less than 2371). Euler's totient φ(2371) = 2370 numbers up to 2371 share no factor with it.
- 4
The digits of 2371 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 151 steps to reach 1.
2371 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2372 |
| Euler totient φ(n) | 2370 |
| Square | 5621641 |
| Cube | 13328910811 |
| Square root | 48.692915 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 151 |
| Scientific notation | 2.371 × |
2371 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and seventy-one |
| Roman numerals | MMCCCLXXI |
| Binary (base 2) | 100101000011 |
| Octal (base 8) | 4503 |
| Hexadecimal (base 16) | 943 |
| Base 3 | 10020211 |
| As time | 2371 seconds = 39 min 31 s |
Is 2371 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 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 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 6) | 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 2371 a prime number?
Yes. 2371 is divisible only by 1 and itself.
What are the factors of 2371?
1, 2371.
What is 2371 in binary?
100101000011 (hexadecimal 943, octal 4503).
What is the square root of 2371?
About 48.6929.
What is 2371 in Roman numerals?
MMCCCLXXI.
Is 2371 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2371?
2371 is the 351st prime number.