The number 41788
41788 is a composite number with 12 divisors. Its prime factorisation is × 31 × 337. Divisors (12): 1, 2, 4, 31, 62, 124, 337, 674, 1348, 10447, 20894, 41788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41788 is composite. Its prime factorisation is
- 3
The divisors add up to 75712; without 41788 itself that is 33924, so 41788 is deficient (33924 is less than 41788). Euler's totient φ(41788) = 20160 numbers up to 41788 share no factor with it.
- 4
The digits of 41788 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41788 = 2^{2} \times 31 \times 337 \]41788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75712 |
| Euler totient φ(n) | 20160 |
| Square | 1746236944 |
| Cube | 72971749415872 |
| Square root | 204.421134 (= 2√10447) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.1788 × |
41788 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and eighty-eight |
| Binary (base 2) | 1010001100111100 |
| Octal (base 8) | 121474 |
| Hexadecimal (base 16) | A33C |
| Base 3 | 2010022201 |
| As time | 41788 seconds = 11 h 36 min 28 s |
Is 41788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41788 ÷ 2 = 20894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41788 ÷ 4 = 10447) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41788 a prime number?
No. 41788 = × 31 × 337, so it is divisible by 2.
What are the factors of 41788?
1, 2, 4, 31, 62, 124, 337, 674, 1348, 10447, 20894, 41788.
What is 41788 in binary?
1010001100111100 (hexadecimal A33C, octal 121474).
What is the square root of 41788?
About 204.4211, exactly 2√10447.
Is 41788 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 41788?
It is a composite number with 12 divisors.