The number 659
659 is a twin prime (659 and 661 are both prime) and the 120th prime number. Its only divisors are 1 and 659.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 659: a twin prime (659 and 661 are both prime); the 120th prime number.
- 2
659 is prime, so its only factors are 1 and 659. It is the 120th prime; the next prime is 661 and the one before is 653.
- 3
The divisors add up to 660; without 659 itself that is 1, so 659 is deficient (1 is less than 659). Euler's totient φ(659) = 658 numbers up to 659 share no factor with it.
- 4
The digits of 659 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 51 steps to reach 1.
659 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 660 |
| Euler totient φ(n) | 658 |
| Square | 434281 |
| Cube | 286191179 |
| Square root | 25.670995 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 51 |
| Scientific notation | 6.59 × |
659 in other forms
| Form | Value |
|---|---|
| In words | six hundred and fifty-nine |
| Roman numerals | DCLIX |
| Binary (base 2) | 1010010011 |
| Octal (base 8) | 1223 |
| Hexadecimal (base 16) | 293 |
| Base 3 | 220102 |
| As time | 659 seconds = 10 min 59 s |
Is 659 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 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 3) | 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 10) | 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 659 a prime number?
Yes. 659 is divisible only by 1 and itself.
What are the factors of 659?
1, 659.
What is 659 in binary?
1010010011 (hexadecimal 293, octal 1223).
What is the square root of 659?
About 25.6710.
What is 659 in Roman numerals?
DCLIX.
Is 659 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 659?
659 is a twin prime (659 and 661 are both prime); the 120th prime number.