The number 366
366 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 61. Divisors (8): 1, 2, 3, 6, 61, 122, 183, 366.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
366 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
366 is composite. Its prime factorisation is
- 3
The divisors add up to 744; without 366 itself that is 378, so 366 is abundant (378 is more than 366). Euler's totient φ(366) = 120 numbers up to 366 share no factor with it.
- 4
The digits of 366 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 366 = 2 \times 3 \times 61 \]
366 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 744 |
| Euler totient φ(n) | 120 |
| Square | 133956 |
| Cube | 49027896 |
| Square root | 19.131126 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 3.66 × |
366 in other forms
| Form | Value |
|---|---|
| In words | three hundred and sixty-six |
| Roman numerals | CCCLXVI |
| Binary (base 2) | 101101110 |
| Octal (base 8) | 556 |
| Hexadecimal (base 16) | 16E |
| Base 3 | 111120 |
| As time | 366 seconds = 6 min 6 s |
Is 366 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (366 ÷ 2 = 183) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (366 ÷ 3 = 122) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (366 ÷ 6 = 61) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 366 a prime number?
No. 366 = 2 × 3 × 61, so it is divisible by 2.
What are the factors of 366?
1, 2, 3, 6, 61, 122, 183, 366.
What is 366 in binary?
101101110 (hexadecimal 16E, octal 556).
What is the square root of 366?
About 19.1311.
What is 366 in Roman numerals?
CCCLXVI.
Is 366 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 366?
It is a composite number with 8 divisors.