The number 42723
42723 is a composite number with 12 divisors. Its prime factorisation is × 47 × 101. Divisors (12): 1, 3, 9, 47, 101, 141, 303, 423, 909, 4747, 14241, 42723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42723: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42723 is composite. Its prime factorisation is
- 3
The divisors add up to 63648; without 42723 itself that is 20925, so 42723 is deficient (20925 is less than 42723). Euler's totient φ(42723) = 27600 numbers up to 42723 share no factor with it.
- 4
The digits of 42723 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42723 = 3^{2} \times 47 \times 101 \]42723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63648 |
| Euler totient φ(n) | 27600 |
| Square | 1825254729 |
| Cube | 77980357787067 |
| Square root | 206.695428 (= 3√4747) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2723 × |
42723 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and twenty-three |
| Binary (base 2) | 1010011011100011 |
| Octal (base 8) | 123343 |
| Hexadecimal (base 16) | A6E3 |
| Base 3 | 2011121100 |
| As time | 42723 seconds = 11 h 52 min 3 s |
Is 42723 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 | Yes (42723 ÷ 3 = 14241) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (42723 ÷ 9 = 4747) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42723 a prime number?
No. 42723 = × 47 × 101, so it is divisible by 3.
What are the factors of 42723?
1, 3, 9, 47, 101, 141, 303, 423, 909, 4747, 14241, 42723.
What is 42723 in binary?
1010011011100011 (hexadecimal A6E3, octal 123343).
What is the square root of 42723?
About 206.6954, exactly 3√4747.
Is 42723 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42723?
42723 is a happy number: repeatedly adding the squares of its digits reaches 1.