The number 3771
3771 is a composite number with 6 divisors. Its prime factorisation is × 419. Divisors (6): 1, 3, 9, 419, 1257, 3771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3771 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3771 is composite. Its prime factorisation is
- 3
The divisors add up to 5460; without 3771 itself that is 1689, so 3771 is deficient (1689 is less than 3771). Euler's totient φ(3771) = 2508 numbers up to 3771 share no factor with it.
- 4
The digits of 3771 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 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3771 = 3^{2} \times 419 \]3771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5460 |
| Euler totient φ(n) | 2508 |
| Square | 14220441 |
| Cube | 53625283011 |
| Square root | 61.408468 (= 3√419) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 113 |
| Scientific notation | 3.771 × |
3771 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-one |
| Roman numerals | MMMDCCLXXI |
| Binary (base 2) | 111010111011 |
| Octal (base 8) | 7273 |
| Hexadecimal (base 16) | EBB |
| Base 3 | 12011200 |
| As time | 3771 seconds = 1 h 2 min 51 s |
Is 3771 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 (3771 ÷ 3 = 1257) | 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 5) | 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 | Yes (3771 ÷ 9 = 419) | 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 9) | 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 3771 a prime number?
No. 3771 = × 419, so it is divisible by 3.
What are the factors of 3771?
1, 3, 9, 419, 1257, 3771.
What is 3771 in binary?
111010111011 (hexadecimal EBB, octal 7273).
What is the square root of 3771?
About 61.4085, exactly 3√419.
What is 3771 in Roman numerals?
MMMDCCLXXI.
Is 3771 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3771?
It is a composite number with 6 divisors.