The number 40355
40355 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 1153. Divisors (8): 1, 5, 7, 35, 1153, 5765, 8071, 40355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40355 is composite. Its prime factorisation is
- 3
The divisors add up to 55392; without 40355 itself that is 15037, so 40355 is deficient (15037 is less than 40355). Euler's totient φ(40355) = 27648 numbers up to 40355 share no factor with it.
- 4
The digits of 40355 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40355 = 5 \times 7 \times 1153 \]
40355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55392 |
| Euler totient φ(n) | 27648 |
| Square | 1628526025 |
| Cube | 65719167738875 |
| Square root | 200.885540 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0355 × |
40355 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and fifty-five |
| Binary (base 2) | 1001110110100011 |
| Octal (base 8) | 116643 |
| Hexadecimal (base 16) | 9DA3 |
| Base 3 | 2001100122 |
| As time | 40355 seconds = 11 h 12 min 35 s |
Is 40355 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 2) | 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 | Yes (40355 ÷ 5 = 8071) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40355 ÷ 7 = 5765) | 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 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40355 a prime number?
No. 40355 = 5 × 7 × 1153, so it is divisible by 5.
What are the factors of 40355?
1, 5, 7, 35, 1153, 5765, 8071, 40355.
What is 40355 in binary?
1001110110100011 (hexadecimal 9DA3, octal 116643).
What is the square root of 40355?
About 200.8855.
Is 40355 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40355?
It is a composite number with 8 divisors.