The number 1771
1771 is a palindrome: it reads 1771 backwards too. Its prime factorisation is 7 × 11 × 23. Divisors (8): 1, 7, 11, 23, 77, 161, 253, 1771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1771: a palindrome: it reads 1771 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1771 is composite. Its prime factorisation is
- 3
The divisors add up to 2304; without 1771 itself that is 533, so 1771 is deficient (533 is less than 1771). Euler's totient φ(1771) = 1320 numbers up to 1771 share no factor with it.
- 4
The digits of 1771 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1771 = 7 \times 11 \times 23 \]
1771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2304 |
| Euler totient φ(n) | 1320 |
| Square | 3136441 |
| Cube | 5554637011 |
| Square root | 42.083251 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.771 × |
1771 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and seventy-one |
| Roman numerals | MDCCLXXI |
| Binary (base 2) | 11011101011 |
| Octal (base 8) | 3353 |
| Hexadecimal (base 16) | 6EB |
| Base 3 | 2102121 |
| As time | 1771 seconds = 29 min 31 s |
Is 1771 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 | Yes (1771 ÷ 7 = 253) | 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 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 | Yes (1771 ÷ 11 = 161) | 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 1771 a prime number?
No. 1771 = 7 × 11 × 23, so it is divisible by 7.
What are the factors of 1771?
1, 7, 11, 23, 77, 161, 253, 1771.
What is 1771 in binary?
11011101011 (hexadecimal 6EB, octal 3353).
What is the square root of 1771?
About 42.0833.
What is 1771 in Roman numerals?
MDCCLXXI.
Is 1771 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1771?
1771 is a palindrome: it reads 1771 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.