The number 42063
42063 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2003. Divisors (8): 1, 3, 7, 21, 2003, 6009, 14021, 42063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42063 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42063 is composite. Its prime factorisation is
- 3
The divisors add up to 64128; without 42063 itself that is 22065, so 42063 is deficient (22065 is less than 42063). Euler's totient φ(42063) = 24024 numbers up to 42063 share no factor with it.
- 4
The digits of 42063 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42063 = 3 \times 7 \times 2003 \]
42063 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64128 |
| Euler totient φ(n) | 24024 |
| Square | 1769295969 |
| Cube | 74421896344047 |
| Square root | 205.092662 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2063 × |
42063 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty-three |
| Binary (base 2) | 1010010001001111 |
| Octal (base 8) | 122117 |
| Hexadecimal (base 16) | A44F |
| Base 3 | 2010200220 |
| As time | 42063 seconds = 11 h 41 min 3 s |
Is 42063 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 (42063 ÷ 3 = 14021) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42063 ÷ 7 = 6009) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42063 a prime number?
No. 42063 = 3 × 7 × 2003, so it is divisible by 3.
What are the factors of 42063?
1, 3, 7, 21, 2003, 6009, 14021, 42063.
What is 42063 in binary?
1010010001001111 (hexadecimal A44F, octal 122117).
What is the square root of 42063?
About 205.0927.
Is 42063 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42063?
It is a composite number with 8 divisors.