The number 40035
40035 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 17 × 157. Divisors (16): 1, 3, 5, 15, 17, 51, 85, 157, 255, 471, 785, 2355, 2669, 8007, 13345, 40035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40035 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40035 is composite. Its prime factorisation is
- 3
The divisors add up to 68256; without 40035 itself that is 28221, so 40035 is deficient (28221 is less than 40035). Euler's totient φ(40035) = 19968 numbers up to 40035 share no factor with it.
- 4
The digits of 40035 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40035 = 3 \times 5 \times 17 \times 157 \]
40035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 68256 |
| Euler totient φ(n) | 19968 |
| Square | 1602801225 |
| Cube | 64168147042875 |
| Square root | 200.087481 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0035 × |
40035 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-five |
| Binary (base 2) | 1001110001100011 |
| Octal (base 8) | 116143 |
| Hexadecimal (base 16) | 9C63 |
| Base 3 | 2000220210 |
| As time | 40035 seconds = 11 h 7 min 15 s |
Is 40035 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 (40035 ÷ 3 = 13345) | 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 (40035 ÷ 5 = 8007) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40035 a prime number?
No. 40035 = 3 × 5 × 17 × 157, so it is divisible by 3.
What are the factors of 40035?
1, 3, 5, 15, 17, 51, 85, 157, 255, 471, 785, 2355, 2669, 8007, 13345, 40035.
What is 40035 in binary?
1001110001100011 (hexadecimal 9C63, octal 116143).
What is the square root of 40035?
About 200.0875.
Is 40035 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40035?
It is a composite number with 16 divisors.