The number 3359
3359 is a twin prime (3359 and 3361 are both prime) and the 473rd prime number. Its only divisors are 1 and 3359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3359: a twin prime (3359 and 3361 are both prime); the 473rd prime number.
- 2
3359 is prime, so its only factors are 1 and 3359. It is the 473rd prime; the next prime is 3361 and the one before is 3347.
- 3
The divisors add up to 3360; without 3359 itself that is 1, so 3359 is deficient (1 is less than 3359). Euler's totient φ(3359) = 3358 numbers up to 3359 share no factor with it.
- 4
The digits of 3359 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
3359 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3360 |
| Euler totient φ(n) | 3358 |
| Square | 11282881 |
| Cube | 37899197279 |
| Square root | 57.956881 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.359 × |
3359 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-nine |
| Roman numerals | MMMCCCLIX |
| Binary (base 2) | 110100011111 |
| Octal (base 8) | 6437 |
| Hexadecimal (base 16) | D1F |
| Base 3 | 11121102 |
| As time | 3359 seconds = 55 min 59 s |
Is 3359 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 3359 a prime number?
Yes. 3359 is divisible only by 1 and itself.
What are the factors of 3359?
1, 3359.
What is 3359 in binary?
110100011111 (hexadecimal D1F, octal 6437).
What is the square root of 3359?
About 57.9569.
What is 3359 in Roman numerals?
MMMCCCLIX.
Is 3359 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3359?
3359 is a twin prime (3359 and 3361 are both prime); the 473rd prime number.