The number 3331
3331 is a twin prime (3329 and 3331 are both prime) and the 470th prime number. Its only divisors are 1 and 3331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3331: a twin prime (3329 and 3331 are both prime); the 470th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3331 is prime, so its only factors are 1 and 3331. It is the 470th prime; the next prime is 3343 and the one before is 3329.
- 3
The divisors add up to 3332; without 3331 itself that is 1, so 3331 is deficient (1 is less than 3331). Euler's totient φ(3331) = 3330 numbers up to 3331 share no factor with it.
- 4
The digits of 3331 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
3331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3332 |
| Euler totient φ(n) | 3330 |
| Square | 11095561 |
| Cube | 36959313691 |
| Square root | 57.714816 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 180 |
| Scientific notation | 3.331 × |
3331 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-one |
| Roman numerals | MMMCCCXXXI |
| Binary (base 2) | 110100000011 |
| Octal (base 8) | 6403 |
| Hexadecimal (base 16) | D03 |
| Base 3 | 11120101 |
| As time | 3331 seconds = 55 min 31 s |
Is 3331 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 | No (remainder 6) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3331 a prime number?
Yes. 3331 is divisible only by 1 and itself.
What are the factors of 3331?
1, 3331.
What is 3331 in binary?
110100000011 (hexadecimal D03, octal 6403).
What is the square root of 3331?
About 57.7148.
What is 3331 in Roman numerals?
MMMCCCXXXI.
Is 3331 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3331?
3331 is a twin prime (3329 and 3331 are both prime); the 470th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.