The number 40363
40363 is a composite number with 4 divisors. Its prime factorisation is 181 × 223. Divisors (4): 1, 181, 223, 40363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40363: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 181 × 223, the product of two primes.
- 2
40363 is composite. Its prime factorisation is
- 3
The divisors add up to 40768; without 40363 itself that is 405, so 40363 is deficient (405 is less than 40363). Euler's totient φ(40363) = 39960 numbers up to 40363 share no factor with it.
- 4
The digits of 40363 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40363 = 181 \times 223 \]
40363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40768 |
| Euler totient φ(n) | 39960 |
| Square | 1629171769 |
| Cube | 65758260112147 |
| Square root | 200.905450 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.0363 × |
40363 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty-three |
| Binary (base 2) | 1001110110101011 |
| Octal (base 8) | 116653 |
| Hexadecimal (base 16) | 9DAB |
| Base 3 | 2001100221 |
| As time | 40363 seconds = 11 h 12 min 43 s |
Is 40363 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40363 a prime number?
No. 40363 = 181 × 223, so it is divisible by 181.
What are the factors of 40363?
1, 181, 223, 40363.
What is 40363 in binary?
1001110110101011 (hexadecimal 9DAB, octal 116653).
What is the square root of 40363?
About 200.9055.
Is 40363 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40363?
40363 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 181 × 223, the product of two primes.