The number 3361
3361 is a twin prime (3359 and 3361 are both prime) and the 474th prime number. Its only divisors are 1 and 3361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3361: a twin prime (3359 and 3361 are both prime); the 474th prime number.
- 2
3361 is prime, so its only factors are 1 and 3361. It is the 474th prime; the next prime is 3371 and the one before is 3359.
- 3
The divisors add up to 3362; without 3361 itself that is 1, so 3361 is deficient (1 is less than 3361). Euler's totient φ(3361) = 3360 numbers up to 3361 share no factor with it.
- 4
The digits of 3361 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
3361 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3362 |
| Euler totient φ(n) | 3360 |
| Square | 11296321 |
| Cube | 37966934881 |
| Square root | 57.974132 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.361 × |
3361 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-one |
| Roman numerals | MMMCCCLXI |
| Binary (base 2) | 110100100001 |
| Octal (base 8) | 6441 |
| Hexadecimal (base 16) | D21 |
| Base 3 | 11121111 |
| As time | 3361 seconds = 56 min 1 s |
Is 3361 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 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3361 a prime number?
Yes. 3361 is divisible only by 1 and itself.
What are the factors of 3361?
1, 3361.
What is 3361 in binary?
110100100001 (hexadecimal D21, octal 6441).
What is the square root of 3361?
About 57.9741.
What is 3361 in Roman numerals?
MMMCCCLXI.
Is 3361 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3361?
3361 is a twin prime (3359 and 3361 are both prime); the 474th prime number.