The number 42763
42763 is a composite number with 8 divisors. Its prime factorisation is 7 × 41 × 149. Divisors (8): 1, 7, 41, 149, 287, 1043, 6109, 42763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42763 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42763 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 42763 itself that is 7637, so 42763 is deficient (7637 is less than 42763). Euler's totient φ(42763) = 35520 numbers up to 42763 share no factor with it.
- 4
The digits of 42763 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42763 = 7 \times 41 \times 149 \]
42763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 35520 |
| Square | 1828674169 |
| Cube | 78199593488947 |
| Square root | 206.792166 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2763 × |
42763 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixty-three |
| Binary (base 2) | 1010011100001011 |
| Octal (base 8) | 123413 |
| Hexadecimal (base 16) | A70B |
| Base 3 | 2011122211 |
| As time | 42763 seconds = 11 h 52 min 43 s |
Is 42763 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42763 ÷ 7 = 6109) | 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 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42763 a prime number?
No. 42763 = 7 × 41 × 149, so it is divisible by 7.
What are the factors of 42763?
1, 7, 41, 149, 287, 1043, 6109, 42763.
What is 42763 in binary?
1010011100001011 (hexadecimal A70B, octal 123413).
What is the square root of 42763?
About 206.7922.
Is 42763 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42763?
It is a composite number with 8 divisors.