The number 42522
42522 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 373. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 373, 746, 1119, 2238, 7087, 14174, 21261, 42522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42522 is composite. Its prime factorisation is
- 3
The divisors add up to 89760; without 42522 itself that is 47238, so 42522 is abundant (47238 is more than 42522). Euler's totient φ(42522) = 13392 numbers up to 42522 share no factor with it.
- 4
The digits of 42522 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42522 = 2 \times 3 \times 19 \times 373 \]
42522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89760 |
| Euler totient φ(n) | 13392 |
| Square | 1808120484 |
| Cube | 76884899220648 |
| Square root | 206.208632 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2522 × |
42522 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twenty-two |
| Binary (base 2) | 1010011000011010 |
| Octal (base 8) | 123032 |
| Hexadecimal (base 16) | A61A |
| Base 3 | 2011022220 |
| As time | 42522 seconds = 11 h 48 min 42 s |
Is 42522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42522 ÷ 2 = 21261) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42522 ÷ 3 = 14174) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (42522 ÷ 6 = 7087) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42522 a prime number?
No. 42522 = 2 × 3 × 19 × 373, so it is divisible by 2.
What are the factors of 42522?
1, 2, 3, 6, 19, 38, 57, 114, 373, 746, 1119, 2238, 7087, 14174, 21261, 42522.
What is 42522 in binary?
1010011000011010 (hexadecimal A61A, octal 123032).
What is the square root of 42522?
About 206.2086.
Is 42522 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42522?
It is a composite number with 16 divisors.