The number 3559
3559 is a twin prime (3557 and 3559 are both prime) and the 499th prime number. Its only divisors are 1 and 3559.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3559: a twin prime (3557 and 3559 are both prime); the 499th prime number.
- 2
3559 is prime, so its only factors are 1 and 3559. It is the 499th prime; the next prime is 3571 and the one before is 3557.
- 3
The divisors add up to 3560; without 3559 itself that is 1, so 3559 is deficient (1 is less than 3559). Euler's totient φ(3559) = 3558 numbers up to 3559 share no factor with it.
- 4
The digits of 3559 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
3559 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3560 |
| Euler totient φ(n) | 3558 |
| Square | 12666481 |
| Cube | 45080005879 |
| Square root | 59.657355 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 3.559 × |
3559 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and fifty-nine |
| Roman numerals | MMMDLIX |
| Binary (base 2) | 110111100111 |
| Octal (base 8) | 6747 |
| Hexadecimal (base 16) | DE7 |
| Base 3 | 11212211 |
| As time | 3559 seconds = 59 min 19 s |
Is 3559 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 4) | 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 3) | 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 4) | 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 6) | 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 3559 a prime number?
Yes. 3559 is divisible only by 1 and itself.
What are the factors of 3559?
1, 3559.
What is 3559 in binary?
110111100111 (hexadecimal DE7, octal 6747).
What is the square root of 3559?
About 59.6574.
What is 3559 in Roman numerals?
MMMDLIX.
Is 3559 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3559?
3559 is a twin prime (3557 and 3559 are both prime); the 499th prime number.