The number 41772
41772 is a composite number with 18 divisors. Its prime factorisation is × 3 × . Divisors (18): 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708, 3481, 6962, 10443, 13924 … 41772.
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How to work it out
- 1
41772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41772 is composite. Its prime factorisation is
- 3
The divisors add up to 99148; without 41772 itself that is 57376, so 41772 is abundant (57376 is more than 41772). Euler's totient φ(41772) = 13688 numbers up to 41772 share no factor with it.
- 4
The digits of 41772 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41772 = 2^{2} \times 3 \times 59^{2} \]41772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 99148 |
| Euler totient φ(n) | 13688 |
| Square | 1744899984 |
| Cube | 72887962131648 |
| Square root | 204.381995 (= 118√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.1772 × |
41772 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and seventy-two |
| Binary (base 2) | 1010001100101100 |
| Octal (base 8) | 121454 |
| Hexadecimal (base 16) | A32C |
| Base 3 | 2010022010 |
| As time | 41772 seconds = 11 h 36 min 12 s |
Is 41772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41772 ÷ 2 = 20886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41772 ÷ 3 = 13924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41772 ÷ 4 = 10443) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41772 ÷ 6 = 6962) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41772 ÷ 12 = 3481) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41772 a prime number?
No. 41772 = × 3 × , so it is divisible by 2.
What are the factors of 41772?
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708, 3481, 6962, 10443, 13924, 20886, 41772.
What is 41772 in binary?
1010001100101100 (hexadecimal A32C, octal 121454).
What is the square root of 41772?
About 204.3820, exactly 118√3.
Is 41772 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 41772?
It is a composite number with 18 divisors.