The number 1171
1171 is the 193rd prime number. Its only divisors are 1 and 1171.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1171: the 193rd prime number.
- 2
1171 is prime, so its only factors are 1 and 1171. It is the 193rd prime; the next prime is 1181 and the one before is 1163.
- 3
The divisors add up to 1172; without 1171 itself that is 1, so 1171 is deficient (1 is less than 1171). Euler's totient φ(1171) = 1170 numbers up to 1171 share no factor with it.
- 4
The digits of 1171 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
1171 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1172 |
| Euler totient φ(n) | 1170 |
| Square | 1371241 |
| Cube | 1605723211 |
| Square root | 34.219877 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.171 × |
1171 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and seventy-one |
| Roman numerals | MCLXXI |
| Binary (base 2) | 10010010011 |
| Octal (base 8) | 2223 |
| Hexadecimal (base 16) | 493 |
| Base 3 | 1121101 |
| As time | 1171 seconds = 19 min 31 s |
Is 1171 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 2) | 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 1) | 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 5) | 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 1171 a prime number?
Yes. 1171 is divisible only by 1 and itself.
What are the factors of 1171?
1, 1171.
What is 1171 in binary?
10010010011 (hexadecimal 493, octal 2223).
What is the square root of 1171?
About 34.2199.
What is 1171 in Roman numerals?
MCLXXI.
Is 1171 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1171?
1171 is the 193rd prime number.