The number 41723
41723 is a composite number with 4 divisors. Its prime factorisation is 11 × 3793. Divisors (4): 1, 11, 3793, 41723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41723: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3793, the product of two primes.
- 2
41723 is composite. Its prime factorisation is
- 3
The divisors add up to 45528; without 41723 itself that is 3805, so 41723 is deficient (3805 is less than 41723). Euler's totient φ(41723) = 37920 numbers up to 41723 share no factor with it.
- 4
The digits of 41723 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41723 = 11 \times 3793 \]
41723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 45528 |
| Euler totient φ(n) | 37920 |
| Square | 1740808729 |
| Cube | 72631762600067 |
| Square root | 204.262087 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.1723 × |
41723 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and twenty-three |
| Binary (base 2) | 1010001011111011 |
| Octal (base 8) | 121373 |
| Hexadecimal (base 16) | A2FB |
| Base 3 | 2010020022 |
| As time | 41723 seconds = 11 h 35 min 23 s |
Is 41723 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41723 ÷ 11 = 3793) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41723 a prime number?
No. 41723 = 11 × 3793, so it is divisible by 11.
What are the factors of 41723?
1, 11, 3793, 41723.
What is 41723 in binary?
1010001011111011 (hexadecimal A2FB, octal 121373).
What is the square root of 41723?
About 204.2621.
Is 41723 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41723?
41723 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3793, the product of two primes.