The number 3371
3371 is a twin prime (3371 and 3373 are both prime) and the 475th prime number. Its only divisors are 1 and 3371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3371: a twin prime (3371 and 3373 are both prime); the 475th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3371 is prime, so its only factors are 1 and 3371. It is the 475th prime; the next prime is 3373 and the one before is 3361.
- 3
The divisors add up to 3372; without 3371 itself that is 1, so 3371 is deficient (1 is less than 3371). Euler's totient φ(3371) = 3370 numbers up to 3371 share no factor with it.
- 4
The digits of 3371 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
3371 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3372 |
| Euler totient φ(n) | 3370 |
| Square | 11363641 |
| Cube | 38306833811 |
| Square root | 58.060313 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.371 × |
3371 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-one |
| Roman numerals | MMMCCCLXXI |
| Binary (base 2) | 110100101011 |
| Octal (base 8) | 6453 |
| Hexadecimal (base 16) | D2B |
| Base 3 | 11121212 |
| As time | 3371 seconds = 56 min 11 s |
Is 3371 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 4) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3371 a prime number?
Yes. 3371 is divisible only by 1 and itself.
What are the factors of 3371?
1, 3371.
What is 3371 in binary?
110100101011 (hexadecimal D2B, octal 6453).
What is the square root of 3371?
About 58.0603.
What is 3371 in Roman numerals?
MMMCCCLXXI.
Is 3371 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3371?
3371 is a twin prime (3371 and 3373 are both prime); the 475th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.