The number 2871
2871 is a composite number with 12 divisors. Its prime factorisation is × 11 × 29. Divisors (12): 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2871 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2871 is composite. Its prime factorisation is
- 3
The divisors add up to 4680; without 2871 itself that is 1809, so 2871 is deficient (1809 is less than 2871). Euler's totient φ(2871) = 1680 numbers up to 2871 share no factor with it.
- 4
The digits of 2871 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2871 = 3^{2} \times 11 \times 29 \]2871 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4680 |
| Euler totient φ(n) | 1680 |
| Square | 8242641 |
| Cube | 23664622311 |
| Square root | 53.581713 (= 3√319) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 79 |
| Scientific notation | 2.871 × |
2871 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and seventy-one |
| Roman numerals | MMDCCCLXXI |
| Binary (base 2) | 101100110111 |
| Octal (base 8) | 5467 |
| Hexadecimal (base 16) | B37 |
| Base 3 | 10221100 |
| As time | 2871 seconds = 47 min 51 s |
Is 2871 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 | Yes (2871 ÷ 3 = 957) | 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 3) | 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 | Yes (2871 ÷ 9 = 319) | 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 | Yes (2871 ÷ 11 = 261) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2871 a prime number?
No. 2871 = × 11 × 29, so it is divisible by 3.
What are the factors of 2871?
1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871.
What is 2871 in binary?
101100110111 (hexadecimal B37, octal 5467).
What is the square root of 2871?
About 53.5817, exactly 3√319.
What is 2871 in Roman numerals?
MMDCCCLXXI.
Is 2871 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2871?
It is a composite number with 12 divisors.