The number 40075
40075 is a composite number with 12 divisors. Its prime factorisation is × 7 × 229. Divisors (12): 1, 5, 7, 25, 35, 175, 229, 1145, 1603, 5725, 8015, 40075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40075 is composite. Its prime factorisation is
- 3
The divisors add up to 57040; without 40075 itself that is 16965, so 40075 is deficient (16965 is less than 40075). Euler's totient φ(40075) = 27360 numbers up to 40075 share no factor with it.
- 4
The digits of 40075 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40075 = 5^{2} \times 7 \times 229 \]40075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57040 |
| Euler totient φ(n) | 27360 |
| Square | 1606005625 |
| Cube | 64360675421875 |
| Square root | 200.187412 (= 5√1603) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0075 × |
40075 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventy-five |
| Binary (base 2) | 1001110010001011 |
| Octal (base 8) | 116213 |
| Hexadecimal (base 16) | 9C8B |
| Base 3 | 2000222021 |
| As time | 40075 seconds = 11 h 7 min 55 s |
Is 40075 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 (40075 ÷ 5 = 8015) | 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 | Yes (40075 ÷ 7 = 5725) | 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 7) | 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 2) | 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 40075 a prime number?
No. 40075 = × 7 × 229, so it is divisible by 5.
What are the factors of 40075?
1, 5, 7, 25, 35, 175, 229, 1145, 1603, 5725, 8015, 40075.
What is 40075 in binary?
1001110010001011 (hexadecimal 9C8B, octal 116213).
What is the square root of 40075?
About 200.1874, exactly 5√1603.
Is 40075 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40075?
It is a composite number with 12 divisors.