The number 42272
42272 is a composite number with 12 divisors. Its prime factorisation is × 1321. Divisors (12): 1, 2, 4, 8, 16, 32, 1321, 2642, 5284, 10568, 21136, 42272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42272 is composite. Its prime factorisation is
- 3
The divisors add up to 83286; without 42272 itself that is 41014, so 42272 is deficient (41014 is less than 42272). Euler's totient φ(42272) = 21120 numbers up to 42272 share no factor with it.
- 4
The digits of 42272 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42272 = 2^{5} \times 1321 \]42272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83286 |
| Euler totient φ(n) | 21120 |
| Square | 1786921984 |
| Cube | 75536766107648 |
| Square root | 205.601556 (= 4√2642) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2272 × |
42272 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and seventy-two |
| Binary (base 2) | 1010010100100000 |
| Octal (base 8) | 122440 |
| Hexadecimal (base 16) | A520 |
| Base 3 | 2010222122 |
| As time | 42272 seconds = 11 h 44 min 32 s |
Is 42272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42272 ÷ 2 = 21136) | 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 (42272 ÷ 4 = 10568) | 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 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 | Yes (42272 ÷ 8 = 5284) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42272 a prime number?
No. 42272 = × 1321, so it is divisible by 2.
What are the factors of 42272?
1, 2, 4, 8, 16, 32, 1321, 2642, 5284, 10568, 21136, 42272.
What is 42272 in binary?
1010010100100000 (hexadecimal A520, octal 122440).
What is the square root of 42272?
About 205.6016, exactly 4√2642.
Is 42272 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42272?
It is a composite number with 12 divisors.