The number 40764
40764 is a composite number with 24 divisors. Its prime factorisation is × 3 × 43 × 79. Divisors (24): 1, 2, 3, 4, 6, 12, 43, 79, 86, 129, 158, 172, 237, 258, 316, 474 … 40764.
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How to work it out
- 1
40764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40764 is composite. Its prime factorisation is
- 3
The divisors add up to 98560; without 40764 itself that is 57796, so 40764 is abundant (57796 is more than 40764). Euler's totient φ(40764) = 13104 numbers up to 40764 share no factor with it.
- 4
The digits of 40764 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40764 = 2^{2} \times 3 \times 43 \times 79 \]40764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98560 |
| Euler totient φ(n) | 13104 |
| Square | 1661703696 |
| Cube | 67737689463744 |
| Square root | 201.900966 (= 2√10191) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0764 × |
40764 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and sixty-four |
| Binary (base 2) | 1001111100111100 |
| Octal (base 8) | 117474 |
| Hexadecimal (base 16) | 9F3C |
| Base 3 | 2001220210 |
| As time | 40764 seconds = 11 h 19 min 24 s |
Is 40764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40764 ÷ 2 = 20382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40764 ÷ 3 = 13588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40764 ÷ 4 = 10191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40764 ÷ 6 = 6794) | 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 4) | 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 4) | 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 | Yes (40764 ÷ 12 = 3397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40764 a prime number?
No. 40764 = × 3 × 43 × 79, so it is divisible by 2.
What are the factors of 40764?
1, 2, 3, 4, 6, 12, 43, 79, 86, 129, 158, 172, 237, 258, 316, 474, 516, 948, 3397, 6794, 10191, 13588, 20382, 40764.
What is 40764 in binary?
1001111100111100 (hexadecimal 9F3C, octal 117474).
What is the square root of 40764?
About 201.9010, exactly 2√10191.
Is 40764 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40764?
It is a composite number with 24 divisors.