The number 40076
40076 is a composite number with 12 divisors. Its prime factorisation is × 43 × 233. Divisors (12): 1, 2, 4, 43, 86, 172, 233, 466, 932, 10019, 20038, 40076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40076 is composite. Its prime factorisation is
- 3
The divisors add up to 72072; without 40076 itself that is 31996, so 40076 is deficient (31996 is less than 40076). Euler's totient φ(40076) = 19488 numbers up to 40076 share no factor with it.
- 4
The digits of 40076 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40076 = 2^{2} \times 43 \times 233 \]40076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72072 |
| Euler totient φ(n) | 19488 |
| Square | 1606085776 |
| Cube | 64365493558976 |
| Square root | 200.189910 (= 2√10019) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0076 × |
40076 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventy-six |
| Binary (base 2) | 1001110010001100 |
| Octal (base 8) | 116214 |
| Hexadecimal (base 16) | 9C8C |
| Base 3 | 2000222022 |
| As time | 40076 seconds = 11 h 7 min 56 s |
Is 40076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40076 ÷ 2 = 20038) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40076 ÷ 4 = 10019) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40076 a prime number?
No. 40076 = × 43 × 233, so it is divisible by 2.
What are the factors of 40076?
1, 2, 4, 43, 86, 172, 233, 466, 932, 10019, 20038, 40076.
What is 40076 in binary?
1001110010001100 (hexadecimal 9C8C, octal 116214).
What is the square root of 40076?
About 200.1899, exactly 2√10019.
Is 40076 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40076?
It is a composite number with 12 divisors.