The number 40071
40071 is a composite number with 12 divisors. Its prime factorisation is 3 × × 37. Divisors (12): 1, 3, 19, 37, 57, 111, 361, 703, 1083, 2109, 13357, 40071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40071 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40071 is composite. Its prime factorisation is
- 3
The divisors add up to 57912; without 40071 itself that is 17841, so 40071 is deficient (17841 is less than 40071). Euler's totient φ(40071) = 24624 numbers up to 40071 share no factor with it.
- 4
The digits of 40071 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40071 = 3 \times 19^{2} \times 37 \]40071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57912 |
| Euler totient φ(n) | 24624 |
| Square | 1605685041 |
| Cube | 64341405277911 |
| Square root | 200.177421 (= 19√111) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0071 × |
40071 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventy-one |
| Binary (base 2) | 1001110010000111 |
| Octal (base 8) | 116207 |
| Hexadecimal (base 16) | 9C87 |
| Base 3 | 2000222010 |
| As time | 40071 seconds = 11 h 7 min 51 s |
Is 40071 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 (40071 ÷ 3 = 13357) | 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 | No (remainder 1) | 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 7) | 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 1) | 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 40071 a prime number?
No. 40071 = 3 × × 37, so it is divisible by 3.
What are the factors of 40071?
1, 3, 19, 37, 57, 111, 361, 703, 1083, 2109, 13357, 40071.
What is 40071 in binary?
1001110010000111 (hexadecimal 9C87, octal 116207).
What is the square root of 40071?
About 200.1774, exactly 19√111.
Is 40071 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40071?
It is a composite number with 12 divisors.