The number 3389
3389 is a twin prime (3389 and 3391 are both prime) and the 477th prime number. Its only divisors are 1 and 3389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3389: a twin prime (3389 and 3391 are both prime); the 477th prime number.
- 2
3389 is prime, so its only factors are 1 and 3389. It is the 477th prime; the next prime is 3391 and the one before is 3373.
- 3
The divisors add up to 3390; without 3389 itself that is 1, so 3389 is deficient (1 is less than 3389). Euler's totient φ(3389) = 3388 numbers up to 3389 share no factor with it.
- 4
The digits of 3389 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
3389 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3390 |
| Euler totient φ(n) | 3388 |
| Square | 11485321 |
| Cube | 38923752869 |
| Square root | 58.215118 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.389 × |
3389 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighty-nine |
| Roman numerals | MMMCCCLXXXIX |
| Binary (base 2) | 110100111101 |
| Octal (base 8) | 6475 |
| Hexadecimal (base 16) | D3D |
| Base 3 | 11122112 |
| As time | 3389 seconds = 56 min 29 s |
Is 3389 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3389 a prime number?
Yes. 3389 is divisible only by 1 and itself.
What are the factors of 3389?
1, 3389.
What is 3389 in binary?
110100111101 (hexadecimal D3D, octal 6475).
What is the square root of 3389?
About 58.2151.
What is 3389 in Roman numerals?
MMMCCCLXXXIX.
Is 3389 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3389?
3389 is a twin prime (3389 and 3391 are both prime); the 477th prime number.