The number 363
363 is a palindrome: it reads 363 backwards too. Its prime factorisation is 3 × . Divisors (6): 1, 3, 11, 33, 121, 363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 363: a palindrome: it reads 363 backwards too.
- 2
363 is composite. Its prime factorisation is
- 3
The divisors add up to 532; without 363 itself that is 169, so 363 is deficient (169 is less than 363). Euler's totient φ(363) = 220 numbers up to 363 share no factor with it.
- 4
The digits of 363 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 363 = 3 \times 11^{2} \]363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 532 |
| Euler totient φ(n) | 220 |
| Square | 131769 |
| Cube | 47832147 |
| Square root | 19.052559 (= 11√3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 3.63 × |
363 in other forms
| Form | Value |
|---|---|
| In words | three hundred and sixty-three |
| Roman numerals | CCCLXIII |
| Binary (base 2) | 101101011 |
| Octal (base 8) | 553 |
| Hexadecimal (base 16) | 16B |
| Base 3 | 111110 |
| As time | 363 seconds = 6 min 3 s |
Is 363 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 | Yes (363 ÷ 3 = 121) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (363 ÷ 11 = 33) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 363 a prime number?
No. 363 = 3 × , so it is divisible by 3.
What are the factors of 363?
1, 3, 11, 33, 121, 363.
What is 363 in binary?
101101011 (hexadecimal 16B, octal 553).
What is the square root of 363?
About 19.0526, exactly 11√3.
What is 363 in Roman numerals?
CCCLXIII.
Is 363 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 363?
363 is a palindrome: it reads 363 backwards too.