The number 3171
3171 is a binary palindrome (110001100011). Its prime factorisation is 3 × 7 × 151. Divisors (8): 1, 3, 7, 21, 151, 453, 1057, 3171.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3171: a binary palindrome (110001100011).
- 2
3171 is composite. Its prime factorisation is
- 3
The divisors add up to 4864; without 3171 itself that is 1693, so 3171 is deficient (1693 is less than 3171). Euler's totient φ(3171) = 1800 numbers up to 3171 share no factor with it.
- 4
The digits of 3171 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3171 = 3 \times 7 \times 151 \]
3171 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4864 |
| Euler totient φ(n) | 1800 |
| Square | 10055241 |
| Cube | 31885169211 |
| Square root | 56.311633 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 3.171 × |
3171 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and seventy-one |
| Roman numerals | MMMCLXXI |
| Binary (base 2) | 110001100011 |
| Octal (base 8) | 6143 |
| Hexadecimal (base 16) | C63 |
| Base 3 | 11100110 |
| As time | 3171 seconds = 52 min 51 s |
Is 3171 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 (3171 ÷ 3 = 1057) | 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 | Yes (3171 ÷ 7 = 453) | 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 3) | 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 3) | 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 3171 a prime number?
No. 3171 = 3 × 7 × 151, so it is divisible by 3.
What are the factors of 3171?
1, 3, 7, 21, 151, 453, 1057, 3171.
What is 3171 in binary?
110001100011 (hexadecimal C63, octal 6143).
What is the square root of 3171?
About 56.3116.
What is 3171 in Roman numerals?
MMMCLXXI.
Is 3171 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3171?
3171 is a binary palindrome (110001100011).