The number 2143
2143 is a twin prime (2141 and 2143 are both prime) and the 324th prime number. Its only divisors are 1 and 2143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2143: a twin prime (2141 and 2143 are both prime); the 324th prime number.
- 2
2143 is prime, so its only factors are 1 and 2143. It is the 324th prime; the next prime is 2153 and the one before is 2141.
- 3
The divisors add up to 2144; without 2143 itself that is 1, so 2143 is deficient (1 is less than 2143). Euler's totient φ(2143) = 2142 numbers up to 2143 share no factor with it.
- 4
The digits of 2143 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
2143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2144 |
| Euler totient φ(n) | 2142 |
| Square | 4592449 |
| Cube | 9841618207 |
| Square root | 46.292548 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 2.143 × |
2143 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and forty-three |
| Roman numerals | MMCXLIII |
| Binary (base 2) | 100001011111 |
| Octal (base 8) | 4137 |
| Hexadecimal (base 16) | 85F |
| Base 3 | 2221101 |
| As time | 2143 seconds = 35 min 43 s |
Is 2143 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 3) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2143 a prime number?
Yes. 2143 is divisible only by 1 and itself.
What are the factors of 2143?
1, 2143.
What is 2143 in binary?
100001011111 (hexadecimal 85F, octal 4137).
What is the square root of 2143?
About 46.2925.
What is 2143 in Roman numerals?
MMCXLIII.
Is 2143 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2143?
2143 is a twin prime (2141 and 2143 are both prime); the 324th prime number.