The number 2171
2171 is a composite number with 4 divisors. Its prime factorisation is 13 × 167. Divisors (4): 1, 13, 167, 2171.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2171: a semiprime: 13 × 167, the product of two primes.
- 2
2171 is composite. Its prime factorisation is
- 3
The divisors add up to 2352; without 2171 itself that is 181, so 2171 is deficient (181 is less than 2171). Euler's totient φ(2171) = 1992 numbers up to 2171 share no factor with it.
- 4
The digits of 2171 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2171 = 13 \times 167 \]
2171 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2352 |
| Euler totient φ(n) | 1992 |
| Square | 4713241 |
| Cube | 10232446211 |
| Square root | 46.593991 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 2.171 × |
2171 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and seventy-one |
| Roman numerals | MMCLXXI |
| Binary (base 2) | 100001111011 |
| Octal (base 8) | 4173 |
| Hexadecimal (base 16) | 87B |
| Base 3 | 2222102 |
| As time | 2171 seconds = 36 min 11 s |
Is 2171 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 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2171 a prime number?
No. 2171 = 13 × 167, so it is divisible by 13.
What are the factors of 2171?
1, 13, 167, 2171.
What is 2171 in binary?
100001111011 (hexadecimal 87B, octal 4173).
What is the square root of 2171?
About 46.5940.
What is 2171 in Roman numerals?
MMCLXXI.
Is 2171 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2171?
2171 is a semiprime: 13 × 167, the product of two primes.