The number 42772
42772 is a composite number with 18 divisors. Its prime factorisation is × × 37. Divisors (18): 1, 2, 4, 17, 34, 37, 68, 74, 148, 289, 578, 629, 1156, 1258, 2516, 10693 … 42772.
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How to work it out
- 1
42772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42772 is composite. Its prime factorisation is
- 3
The divisors add up to 81662; without 42772 itself that is 38890, so 42772 is deficient (38890 is less than 42772). Euler's totient φ(42772) = 19584 numbers up to 42772 share no factor with it.
- 4
The digits of 42772 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42772 = 2^{2} \times 17^{2} \times 37 \]42772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 81662 |
| Euler totient φ(n) | 19584 |
| Square | 1829443984 |
| Cube | 78248978083648 |
| Square root | 206.813926 (= 34√37) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2772 × |
42772 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and seventy-two |
| Binary (base 2) | 1010011100010100 |
| Octal (base 8) | 123424 |
| Hexadecimal (base 16) | A714 |
| Base 3 | 2011200011 |
| As time | 42772 seconds = 11 h 52 min 52 s |
Is 42772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42772 ÷ 2 = 21386) | 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 | Yes (42772 ÷ 4 = 10693) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42772 a prime number?
No. 42772 = × × 37, so it is divisible by 2.
What are the factors of 42772?
1, 2, 4, 17, 34, 37, 68, 74, 148, 289, 578, 629, 1156, 1258, 2516, 10693, 21386, 42772.
What is 42772 in binary?
1010011100010100 (hexadecimal A714, octal 123424).
What is the square root of 42772?
About 206.8139, exactly 34√37.
Is 42772 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42772?
It is a composite number with 18 divisors.