The number 42173
42173 is a composite number with 4 divisors. Its prime factorisation is 181 × 233. Divisors (4): 1, 181, 233, 42173.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42173: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 181 × 233, the product of two primes.
- 2
42173 is composite. Its prime factorisation is
- 3
The divisors add up to 42588; without 42173 itself that is 415, so 42173 is deficient (415 is less than 42173). Euler's totient φ(42173) = 41760 numbers up to 42173 share no factor with it.
- 4
The digits of 42173 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42173 = 181 \times 233 \]
42173 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42588 |
| Euler totient φ(n) | 41760 |
| Square | 1778561929 |
| Cube | 75007292231717 |
| Square root | 205.360658 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2173 × |
42173 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventy-three |
| Binary (base 2) | 1010010010111101 |
| Octal (base 8) | 122275 |
| Hexadecimal (base 16) | A4BD |
| Base 3 | 2010211222 |
| As time | 42173 seconds = 11 h 42 min 53 s |
Is 42173 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42173 a prime number?
No. 42173 = 181 × 233, so it is divisible by 181.
What are the factors of 42173?
1, 181, 233, 42173.
What is 42173 in binary?
1010010010111101 (hexadecimal A4BD, octal 122275).
What is the square root of 42173?
About 205.3607.
Is 42173 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42173?
42173 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 181 × 233, the product of two primes.