The number 42573
42573 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 617. Divisors (8): 1, 3, 23, 69, 617, 1851, 14191, 42573.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42573: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42573 is composite. Its prime factorisation is
- 3
The divisors add up to 59328; without 42573 itself that is 16755, so 42573 is deficient (16755 is less than 42573). Euler's totient φ(42573) = 27104 numbers up to 42573 share no factor with it.
- 4
The digits of 42573 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42573 = 3 \times 23 \times 617 \]
42573 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59328 |
| Euler totient φ(n) | 27104 |
| Square | 1812460329 |
| Cube | 77161873586517 |
| Square root | 206.332256 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2573 × |
42573 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventy-three |
| Binary (base 2) | 1010011001001101 |
| Octal (base 8) | 123115 |
| Hexadecimal (base 16) | A64D |
| Base 3 | 2011101210 |
| As time | 42573 seconds = 11 h 49 min 33 s |
Is 42573 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 (42573 ÷ 3 = 14191) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42573 a prime number?
No. 42573 = 3 × 23 × 617, so it is divisible by 3.
What are the factors of 42573?
1, 3, 23, 69, 617, 1851, 14191, 42573.
What is 42573 in binary?
1010011001001101 (hexadecimal A64D, octal 123115).
What is the square root of 42573?
About 206.3323.
Is 42573 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42573?
42573 is a happy number: repeatedly adding the squares of its digits reaches 1.