The number 2671
2671 is the 387th prime number. Its only divisors are 1 and 2671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2671: the 387th prime number.
- 2
2671 is prime, so its only factors are 1 and 2671. It is the 387th prime; the next prime is 2677 and the one before is 2663.
- 3
The divisors add up to 2672; without 2671 itself that is 1, so 2671 is deficient (1 is less than 2671). Euler's totient φ(2671) = 2670 numbers up to 2671 share no factor with it.
- 4
The digits of 2671 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
2671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2672 |
| Euler totient φ(n) | 2670 |
| Square | 7134241 |
| Cube | 19055557711 |
| Square root | 51.681718 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.671 × |
2671 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy-one |
| Roman numerals | MMDCLXXI |
| Binary (base 2) | 101001101111 |
| Octal (base 8) | 5157 |
| Hexadecimal (base 16) | A6F |
| Base 3 | 10122221 |
| As time | 2671 seconds = 44 min 31 s |
Is 2671 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 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 2671 a prime number?
Yes. 2671 is divisible only by 1 and itself.
What are the factors of 2671?
1, 2671.
What is 2671 in binary?
101001101111 (hexadecimal A6F, octal 5157).
What is the square root of 2671?
About 51.6817.
What is 2671 in Roman numerals?
MMDCLXXI.
Is 2671 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2671?
2671 is the 387th prime number.