The number 40135
40135 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 349. Divisors (8): 1, 5, 23, 115, 349, 1745, 8027, 40135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40135 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40135 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 40135 itself that is 10265, so 40135 is deficient (10265 is less than 40135). Euler's totient φ(40135) = 30624 numbers up to 40135 share no factor with it.
- 4
The digits of 40135 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40135 = 5 \times 23 \times 349 \]
40135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 30624 |
| Square | 1610818225 |
| Cube | 64650189460375 |
| Square root | 200.337216 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0135 × |
40135 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and thirty-five |
| Binary (base 2) | 1001110011000111 |
| Octal (base 8) | 116307 |
| Hexadecimal (base 16) | 9CC7 |
| Base 3 | 2001001111 |
| As time | 40135 seconds = 11 h 8 min 55 s |
Is 40135 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 | Yes (40135 ÷ 5 = 8027) | 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40135 a prime number?
No. 40135 = 5 × 23 × 349, so it is divisible by 5.
What are the factors of 40135?
1, 5, 23, 115, 349, 1745, 8027, 40135.
What is 40135 in binary?
1001110011000111 (hexadecimal 9CC7, octal 116307).
What is the square root of 40135?
About 200.3372.
Is 40135 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40135?
It is a composite number with 8 divisors.