The number 42726
42726 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7121. Divisors (8): 1, 2, 3, 6, 7121, 14242, 21363, 42726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42726: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42726 is composite. Its prime factorisation is
- 3
The divisors add up to 85464; without 42726 itself that is 42738, so 42726 is abundant (42738 is more than 42726). Euler's totient φ(42726) = 14240 numbers up to 42726 share no factor with it.
- 4
The digits of 42726 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42726 = 2 \times 3 \times 7121 \]
42726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85464 |
| Euler totient φ(n) | 14240 |
| Square | 1825511076 |
| Cube | 77996786233176 |
| Square root | 206.702685 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2726 × |
42726 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and twenty-six |
| Binary (base 2) | 1010011011100110 |
| Octal (base 8) | 123346 |
| Hexadecimal (base 16) | A6E6 |
| Base 3 | 2011121110 |
| As time | 42726 seconds = 11 h 52 min 6 s |
Is 42726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42726 ÷ 2 = 21363) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42726 ÷ 3 = 14242) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42726 ÷ 6 = 7121) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42726 a prime number?
No. 42726 = 2 × 3 × 7121, so it is divisible by 2.
What are the factors of 42726?
1, 2, 3, 6, 7121, 14242, 21363, 42726.
What is 42726 in binary?
1010011011100110 (hexadecimal A6E6, octal 123346).
What is the square root of 42726?
About 206.7027.
Is 42726 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42726?
42726 is a happy number: repeatedly adding the squares of its digits reaches 1.