The number 40736
40736 is a composite number with 24 divisors. Its prime factorisation is × 19 × 67. Divisors (24): 1, 2, 4, 8, 16, 19, 32, 38, 67, 76, 134, 152, 268, 304, 536, 608 … 40736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40736 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 40736 itself that is 44944, so 40736 is abundant (44944 is more than 40736). Euler's totient φ(40736) = 19008 numbers up to 40736 share no factor with it.
- 4
The digits of 40736 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40736 = 2^{5} \times 19 \times 67 \]40736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 19008 |
| Square | 1659421696 |
| Cube | 67598202208256 |
| Square root | 201.831613 (= 4√2546) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0736 × |
40736 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and thirty-six |
| Binary (base 2) | 1001111100100000 |
| Octal (base 8) | 117440 |
| Hexadecimal (base 16) | 9F20 |
| Base 3 | 2001212202 |
| As time | 40736 seconds = 11 h 18 min 56 s |
Is 40736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40736 ÷ 2 = 20368) | 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 (40736 ÷ 4 = 10184) | 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 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 | Yes (40736 ÷ 8 = 5092) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 40736 a prime number?
No. 40736 = × 19 × 67, so it is divisible by 2.
What are the factors of 40736?
1, 2, 4, 8, 16, 19, 32, 38, 67, 76, 134, 152, 268, 304, 536, 608, 1072, 1273, 2144, 2546, 5092, 10184, 20368, 40736.
What is 40736 in binary?
1001111100100000 (hexadecimal 9F20, octal 117440).
What is the square root of 40736?
About 201.8316, exactly 4√2546.
Is 40736 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40736?
It is a composite number with 24 divisors.