The number 40995
40995 is a composite number with 12 divisors. Its prime factorisation is × 5 × 911. Divisors (12): 1, 3, 5, 9, 15, 45, 911, 2733, 4555, 8199, 13665, 40995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40995: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40995 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 40995 itself that is 30141, so 40995 is deficient (30141 is less than 40995). Euler's totient φ(40995) = 21840 numbers up to 40995 share no factor with it.
- 4
The digits of 40995 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40995 = 3^{2} \times 5 \times 911 \]40995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 21840 |
| Square | 1680590025 |
| Cube | 68895788074875 |
| Square root | 202.472220 (= 3√4555) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.0995 × |
40995 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and ninety-five |
| Binary (base 2) | 1010000000100011 |
| Octal (base 8) | 120043 |
| Hexadecimal (base 16) | A023 |
| Base 3 | 2002020100 |
| As time | 40995 seconds = 11 h 23 min 15 s |
Is 40995 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 (40995 ÷ 3 = 13665) | 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 (40995 ÷ 5 = 8199) | 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 3) | 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 (40995 ÷ 9 = 4555) | 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 9) | 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 40995 a prime number?
No. 40995 = × 5 × 911, so it is divisible by 3.
What are the factors of 40995?
1, 3, 5, 9, 15, 45, 911, 2733, 4555, 8199, 13665, 40995.
What is 40995 in binary?
1010000000100011 (hexadecimal A023, octal 120043).
What is the square root of 40995?
About 202.4722, exactly 3√4555.
Is 40995 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 40995?
40995 is a happy number: repeatedly adding the squares of its digits reaches 1.