The number 369
369 is a composite number with 6 divisors. Its prime factorisation is × 41. Divisors (6): 1, 3, 9, 41, 123, 369.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
369 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
369 is composite. Its prime factorisation is
- 3
The divisors add up to 546; without 369 itself that is 177, so 369 is deficient (177 is less than 369). Euler's totient φ(369) = 240 numbers up to 369 share no factor with it.
- 4
The digits of 369 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 369 = 3^{2} \times 41 \]369 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 546 |
| Euler totient φ(n) | 240 |
| Square | 136161 |
| Cube | 50243409 |
| Square root | 19.209373 (= 3√41) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 19 |
| Scientific notation | 3.69 × |
369 in other forms
| Form | Value |
|---|---|
| In words | three hundred and sixty-nine |
| Roman numerals | CCCLXIX |
| Binary (base 2) | 101110001 |
| Octal (base 8) | 561 |
| Hexadecimal (base 16) | 171 |
| Base 3 | 111200 |
| As time | 369 seconds = 6 min 9 s |
Is 369 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 (369 ÷ 3 = 123) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (369 ÷ 9 = 41) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 369 a prime number?
No. 369 = × 41, so it is divisible by 3.
What are the factors of 369?
1, 3, 9, 41, 123, 369.
What is 369 in binary?
101110001 (hexadecimal 171, octal 561).
What is the square root of 369?
About 19.2094, exactly 3√41.
What is 369 in Roman numerals?
CCCLXIX.
Is 369 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 369?
It is a composite number with 6 divisors.