The number 42572
42572 is a composite number with 12 divisors. Its prime factorisation is × 29 × 367. Divisors (12): 1, 2, 4, 29, 58, 116, 367, 734, 1468, 10643, 21286, 42572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42572 is composite. Its prime factorisation is
- 3
The divisors add up to 77280; without 42572 itself that is 34708, so 42572 is deficient (34708 is less than 42572). Euler's totient φ(42572) = 20496 numbers up to 42572 share no factor with it.
- 4
The digits of 42572 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42572 = 2^{2} \times 29 \times 367 \]42572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77280 |
| Euler totient φ(n) | 20496 |
| Square | 1812375184 |
| Cube | 77156436333248 |
| Square root | 206.329833 (= 2√10643) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2572 × |
42572 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventy-two |
| Binary (base 2) | 1010011001001100 |
| Octal (base 8) | 123114 |
| Hexadecimal (base 16) | A64C |
| Base 3 | 2011101202 |
| As time | 42572 seconds = 11 h 49 min 32 s |
Is 42572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42572 ÷ 2 = 21286) | 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 | Yes (42572 ÷ 4 = 10643) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42572 a prime number?
No. 42572 = × 29 × 367, so it is divisible by 2.
What are the factors of 42572?
1, 2, 4, 29, 58, 116, 367, 734, 1468, 10643, 21286, 42572.
What is 42572 in binary?
1010011001001100 (hexadecimal A64C, octal 123114).
What is the square root of 42572?
About 206.3298, exactly 2√10643.
Is 42572 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42572?
It is a composite number with 12 divisors.