The number 2141
2141 is a twin prime (2141 and 2143 are both prime) and the 323rd prime number. Its only divisors are 1 and 2141.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2141: a twin prime (2141 and 2143 are both prime); the 323rd prime number.
- 2
2141 is prime, so its only factors are 1 and 2141. It is the 323rd prime; the next prime is 2143 and the one before is 2137.
- 3
The divisors add up to 2142; without 2141 itself that is 1, so 2141 is deficient (1 is less than 2141). Euler's totient φ(2141) = 2140 numbers up to 2141 share no factor with it.
- 4
The digits of 2141 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
2141 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2142 |
| Euler totient φ(n) | 2140 |
| Square | 4583881 |
| Cube | 9814089221 |
| Square root | 46.270941 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 24 |
| Scientific notation | 2.141 × |
2141 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and forty-one |
| Roman numerals | MMCXLI |
| Binary (base 2) | 100001011101 |
| Octal (base 8) | 4135 |
| Hexadecimal (base 16) | 85D |
| Base 3 | 2221022 |
| As time | 2141 seconds = 35 min 41 s |
Is 2141 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 1) | 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 6) | 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 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2141 a prime number?
Yes. 2141 is divisible only by 1 and itself.
What are the factors of 2141?
1, 2141.
What is 2141 in binary?
100001011101 (hexadecimal 85D, octal 4135).
What is the square root of 2141?
About 46.2709.
What is 2141 in Roman numerals?
MMCXLI.
Is 2141 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2141?
2141 is a twin prime (2141 and 2143 are both prime); the 323rd prime number.