The number 42057
42057 is a composite number with 6 divisors. Its prime factorisation is × 4673. Divisors (6): 1, 3, 9, 4673, 14019, 42057.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42057: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42057 is composite. Its prime factorisation is
- 3
The divisors add up to 60762; without 42057 itself that is 18705, so 42057 is deficient (18705 is less than 42057). Euler's totient φ(42057) = 28032 numbers up to 42057 share no factor with it.
- 4
The digits of 42057 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42057 = 3^{2} \times 4673 \]42057 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 60762 |
| Euler totient φ(n) | 28032 |
| Square | 1768791249 |
| Cube | 74390053559193 |
| Square root | 205.078034 (= 3√4673) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2057 × |
42057 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and fifty-seven |
| Binary (base 2) | 1010010001001001 |
| Octal (base 8) | 122111 |
| Hexadecimal (base 16) | A449 |
| Base 3 | 2010200200 |
| As time | 42057 seconds = 11 h 40 min 57 s |
Is 42057 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 (42057 ÷ 3 = 14019) | 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 2) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42057 ÷ 9 = 4673) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 42057 a prime number?
No. 42057 = × 4673, so it is divisible by 3.
What are the factors of 42057?
1, 3, 9, 4673, 14019, 42057.
What is 42057 in binary?
1010010001001001 (hexadecimal A449, octal 122111).
What is the square root of 42057?
About 205.0780, exactly 3√4673.
Is 42057 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42057?
42057 is a happy number: repeatedly adding the squares of its digits reaches 1.