The number 40365
40365 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 23. Divisors (32): 1, 3, 5, 9, 13, 15, 23, 27, 39, 45, 65, 69, 115, 117, 135, 195 … 40365.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40365: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40365 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 40365 itself that is 40275, so 40365 is deficient (40275 is less than 40365). Euler's totient φ(40365) = 19008 numbers up to 40365 share no factor with it.
- 4
The digits of 40365 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40365 = 3^{3} \times 5 \times 13 \times 23 \]40365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 19008 |
| Square | 1629333225 |
| Cube | 65768035627125 |
| Square root | 200.910428 (= 3√4485) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.0365 × |
40365 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty-five |
| Binary (base 2) | 1001110110101101 |
| Octal (base 8) | 116655 |
| Hexadecimal (base 16) | 9DAD |
| Base 3 | 2001101000 |
| As time | 40365 seconds = 11 h 12 min 45 s |
Is 40365 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 (40365 ÷ 3 = 13455) | 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 | Yes (40365 ÷ 5 = 8073) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40365 ÷ 9 = 4485) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 40365 a prime number?
No. 40365 = × 5 × 13 × 23, so it is divisible by 3.
What are the factors of 40365?
1, 3, 5, 9, 13, 15, 23, 27, 39, 45, 65, 69, 115, 117, 135, 195, 207, 299, 345, 351, 585, 621, 897, 1035, 1495, 1755, 2691, 3105, 4485, 8073, 13455, 40365.
What is 40365 in binary?
1001110110101101 (hexadecimal 9DAD, octal 116655).
What is the square root of 40365?
About 200.9104, exactly 3√4485.
Is 40365 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40365?
40365 is a happy number: repeatedly adding the squares of its digits reaches 1.