The number 3671
3671 is a twin prime (3671 and 3673 are both prime) and the 512th prime number. Its only divisors are 1 and 3671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3671: a twin prime (3671 and 3673 are both prime); the 512th prime number.
- 2
3671 is prime, so its only factors are 1 and 3671. It is the 512th prime; the next prime is 3673 and the one before is 3659.
- 3
The divisors add up to 3672; without 3671 itself that is 1, so 3671 is deficient (1 is less than 3671). Euler's totient φ(3671) = 3670 numbers up to 3671 share no factor with it.
- 4
The digits of 3671 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
3671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3672 |
| Euler totient φ(n) | 3670 |
| Square | 13476241 |
| Cube | 49471280711 |
| Square root | 60.588778 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.671 × |
3671 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-one |
| Roman numerals | MMMDCLXXI |
| Binary (base 2) | 111001010111 |
| Octal (base 8) | 7127 |
| Hexadecimal (base 16) | E57 |
| Base 3 | 12000222 |
| As time | 3671 seconds = 1 h 1 min 11 s |
Is 3671 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | 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 3671 a prime number?
Yes. 3671 is divisible only by 1 and itself.
What are the factors of 3671?
1, 3671.
What is 3671 in binary?
111001010111 (hexadecimal E57, octal 7127).
What is the square root of 3671?
About 60.5888.
What is 3671 in Roman numerals?
MMMDCLXXI.
Is 3671 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3671?
3671 is a twin prime (3671 and 3673 are both prime); the 512th prime number.