The number 42973
42973 is a composite number with 6 divisors. Its prime factorisation is Ć 877. Divisors (6): 1, 7, 49, 877, 6139, 42973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42973 is composite. Its prime factorisation is
- 3
The divisors add up to 50046; without 42973 itself that is 7073, so 42973 is deficient (7073 is less than 42973). Euler's totient Ļ(42973) = 36792 numbers up to 42973 share no factor with it.
- 4
The digits of 42973 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42973 = 7^{2} \times 877 \]42973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 50046 |
| Euler totient Ļ(n) | 36792 |
| Square | 1846678729 |
| Cube | 79357325021317 |
| Square root | 207.299301 (= 7ā877) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2973 Ć |
42973 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and seventy-three |
| Binary (base 2) | 1010011111011101 |
| Octal (base 8) | 123735 |
| Hexadecimal (base 16) | A7DD |
| Base 3 | 2011221121 |
| As time | 42973 seconds = 11 h 56 min 13 s |
Is 42973 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 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 (42973 Ć· 7 = 6139) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42973 a prime number?
No. 42973 = Ć 877, so it is divisible by 7.
What are the factors of 42973?
1, 7, 49, 877, 6139, 42973.
What is 42973 in binary?
1010011111011101 (hexadecimal A7DD, octal 123735).
What is the square root of 42973?
About 207.2993, exactly 7ā877.
Is 42973 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42973?
It is a composite number with 6 divisors.