The number 40746
40746 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6791. Divisors (8): 1, 2, 3, 6, 6791, 13582, 20373, 40746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40746 is composite. Its prime factorisation is
- 3
The divisors add up to 81504; without 40746 itself that is 40758, so 40746 is abundant (40758 is more than 40746). Euler's totient φ(40746) = 13580 numbers up to 40746 share no factor with it.
- 4
The digits of 40746 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40746 = 2 \times 3 \times 6791 \]
40746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81504 |
| Euler totient φ(n) | 13580 |
| Square | 1660236516 |
| Cube | 67647997080936 |
| Square root | 201.856385 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0746 × |
40746 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty-six |
| Binary (base 2) | 1001111100101010 |
| Octal (base 8) | 117452 |
| Hexadecimal (base 16) | 9F2A |
| Base 3 | 2001220010 |
| As time | 40746 seconds = 11 h 19 min 6 s |
Is 40746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40746 ÷ 2 = 20373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40746 ÷ 3 = 13582) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (40746 ÷ 6 = 6791) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40746 a prime number?
No. 40746 = 2 × 3 × 6791, so it is divisible by 2.
What are the factors of 40746?
1, 2, 3, 6, 6791, 13582, 20373, 40746.
What is 40746 in binary?
1001111100101010 (hexadecimal 9F2A, octal 117452).
What is the square root of 40746?
About 201.8564.
Is 40746 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40746?
It is a composite number with 8 divisors.