The number 42757
42757 is a composite number with 12 divisors. Its prime factorisation is 11 × × 23. Divisors (12): 1, 11, 13, 23, 143, 169, 253, 299, 1859, 3289, 3887, 42757.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42757 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42757 is composite. Its prime factorisation is
- 3
The divisors add up to 52704; without 42757 itself that is 9947, so 42757 is deficient (9947 is less than 42757). Euler's totient φ(42757) = 34320 numbers up to 42757 share no factor with it.
- 4
The digits of 42757 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42757 = 11 \times 13^{2} \times 23 \]42757 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52704 |
| Euler totient φ(n) | 34320 |
| Square | 1828161049 |
| Cube | 78166681972093 |
| Square root | 206.777658 (= 13√253) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2757 × |
42757 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and fifty-seven |
| Binary (base 2) | 1010011100000101 |
| Octal (base 8) | 123405 |
| Hexadecimal (base 16) | A705 |
| Base 3 | 2011122121 |
| As time | 42757 seconds = 11 h 52 min 37 s |
Is 42757 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (42757 ÷ 11 = 3887) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42757 a prime number?
No. 42757 = 11 × × 23, so it is divisible by 11.
What are the factors of 42757?
1, 11, 13, 23, 143, 169, 253, 299, 1859, 3289, 3887, 42757.
What is 42757 in binary?
1010011100000101 (hexadecimal A705, octal 123405).
What is the square root of 42757?
About 206.7777, exactly 13√253.
Is 42757 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42757?
It is a composite number with 12 divisors.