The number 40635
40635 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 43. Divisors (32): 1, 3, 5, 7, 9, 15, 21, 27, 35, 43, 45, 63, 105, 129, 135, 189 … 40635.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40635: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40635 is composite. Its prime factorisation is
- 3
The divisors add up to 84480; without 40635 itself that is 43845, so 40635 is abundant (43845 is more than 40635). Euler's totient φ(40635) = 18144 numbers up to 40635 share no factor with it.
- 4
The digits of 40635 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 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40635 = 3^{3} \times 5 \times 7 \times 43 \]40635 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 84480 |
| Euler totient φ(n) | 18144 |
| Square | 1651203225 |
| Cube | 67096643047875 |
| Square root | 201.581249 (= 3√4515) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0635 × |
40635 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and thirty-five |
| Binary (base 2) | 1001111010111011 |
| Octal (base 8) | 117273 |
| Hexadecimal (base 16) | 9EBB |
| Base 3 | 2001202000 |
| As time | 40635 seconds = 11 h 17 min 15 s |
Is 40635 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 (40635 ÷ 3 = 13545) | 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 (40635 ÷ 5 = 8127) | 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 | Yes (40635 ÷ 7 = 5805) | 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 | Yes (40635 ÷ 9 = 4515) | 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 1) | 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 40635 a prime number?
No. 40635 = × 5 × 7 × 43, so it is divisible by 3.
What are the factors of 40635?
1, 3, 5, 7, 9, 15, 21, 27, 35, 43, 45, 63, 105, 129, 135, 189, 215, 301, 315, 387, 645, 903, 945, 1161, 1505, 1935, 2709, 4515, 5805, 8127, 13545, 40635.
What is 40635 in binary?
1001111010111011 (hexadecimal 9EBB, octal 117273).
What is the square root of 40635?
About 201.5812, exactly 3√4515.
Is 40635 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40635?
40635 is a happy number: repeatedly adding the squares of its digits reaches 1.