The number 40748
40748 is a composite number with 12 divisors. Its prime factorisation is × 61 × 167. Divisors (12): 1, 2, 4, 61, 122, 167, 244, 334, 668, 10187, 20374, 40748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40748 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 40748 itself that is 32164, so 40748 is deficient (32164 is less than 40748). Euler's totient φ(40748) = 19920 numbers up to 40748 share no factor with it.
- 4
The digits of 40748 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40748 = 2^{2} \times 61 \times 167 \]40748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 19920 |
| Square | 1660399504 |
| Cube | 67657958988992 |
| Square root | 201.861339 (= 2√10187) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0748 × |
40748 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty-eight |
| Binary (base 2) | 1001111100101100 |
| Octal (base 8) | 117454 |
| Hexadecimal (base 16) | 9F2C |
| Base 3 | 2001220012 |
| As time | 40748 seconds = 11 h 19 min 8 s |
Is 40748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40748 ÷ 2 = 20374) | 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 (40748 ÷ 4 = 10187) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 40748 a prime number?
No. 40748 = × 61 × 167, so it is divisible by 2.
What are the factors of 40748?
1, 2, 4, 61, 122, 167, 244, 334, 668, 10187, 20374, 40748.
What is 40748 in binary?
1001111100101100 (hexadecimal 9F2C, octal 117454).
What is the square root of 40748?
About 201.8613, exactly 2√10187.
Is 40748 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40748?
It is a composite number with 12 divisors.