The number 42741
42741 is a composite number with 8 divisors. Its prime factorisation is × 1583. Divisors (8): 1, 3, 9, 27, 1583, 4749, 14247, 42741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42741: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42741 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 42741 itself that is 20619, so 42741 is deficient (20619 is less than 42741). Euler's totient φ(42741) = 28476 numbers up to 42741 share no factor with it.
- 4
The digits of 42741 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42741 = 3^{3} \times 1583 \]42741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 28476 |
| Square | 1826793081 |
| Cube | 78078963075021 |
| Square root | 206.738966 (= 3√4749) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2741 × |
42741 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and forty-one |
| Binary (base 2) | 1010011011110101 |
| Octal (base 8) | 123365 |
| Hexadecimal (base 16) | A6F5 |
| Base 3 | 2011122000 |
| As time | 42741 seconds = 11 h 52 min 21 s |
Is 42741 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 (42741 ÷ 3 = 14247) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42741 ÷ 9 = 4749) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42741 a prime number?
No. 42741 = × 1583, so it is divisible by 3.
What are the factors of 42741?
1, 3, 9, 27, 1583, 4749, 14247, 42741.
What is 42741 in binary?
1010011011110101 (hexadecimal A6F5, octal 123365).
What is the square root of 42741?
About 206.7390, exactly 3√4749.
Is 42741 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42741?
42741 is a happy number: repeatedly adding the squares of its digits reaches 1.