The number 359
359 is the 72nd prime number. Its only divisors are 1 and 359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 359: the 72nd prime number.
- 2
359 is prime, so its only factors are 1 and 359. It is the 72nd prime; the next prime is 367 and the one before is 353.
- 3
The divisors add up to 360; without 359 itself that is 1, so 359 is deficient (1 is less than 359). Euler's totient φ(359) = 358 numbers up to 359 share no factor with it.
- 4
The digits of 359 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
359 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 360 |
| Euler totient φ(n) | 358 |
| Square | 128881 |
| Cube | 46268279 |
| Square root | 18.947295 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 3.59 × |
359 in other forms
| Form | Value |
|---|---|
| In words | three hundred and fifty-nine |
| Roman numerals | CCCLIX |
| Binary (base 2) | 101100111 |
| Octal (base 8) | 547 |
| Hexadecimal (base 16) | 167 |
| Base 3 | 111022 |
| As time | 359 seconds = 5 min 59 s |
Is 359 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 2) | 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 8) | 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 7) | 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 359 a prime number?
Yes. 359 is divisible only by 1 and itself.
What are the factors of 359?
1, 359.
What is 359 in binary?
101100111 (hexadecimal 167, octal 547).
What is the square root of 359?
About 18.9473.
What is 359 in Roman numerals?
CCCLIX.
Is 359 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 359?
359 is the 72nd prime number.