The number 42252
42252 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 503. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 503, 1006, 1509, 2012 … 42252.
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How to work it out
- 1
42252 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42252 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 42252 itself that is 70644, so 42252 is abundant (70644 is more than 42252). Euler's totient φ(42252) = 12048 numbers up to 42252 share no factor with it.
- 4
The digits of 42252 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
\[ 42252 = 2^{2} \times 3 \times 7 \times 503 \]42252 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 12048 |
| Square | 1785231504 |
| Cube | 75429601507008 |
| Square root | 205.552913 (= 2√10563) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2252 × |
42252 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and fifty-two |
| Binary (base 2) | 1010010100001100 |
| Octal (base 8) | 122414 |
| Hexadecimal (base 16) | A50C |
| Base 3 | 2010221220 |
| As time | 42252 seconds = 11 h 44 min 12 s |
Is 42252 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42252 ÷ 2 = 21126) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42252 ÷ 3 = 14084) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42252 ÷ 4 = 10563) | 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 (42252 ÷ 6 = 7042) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42252 ÷ 7 = 6036) | 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 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42252 ÷ 12 = 3521) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42252 a prime number?
No. 42252 = × 3 × 7 × 503, so it is divisible by 2.
What are the factors of 42252?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 503, 1006, 1509, 2012, 3018, 3521, 6036, 7042, 10563, 14084, 21126, 42252.
What is 42252 in binary?
1010010100001100 (hexadecimal A50C, octal 122414).
What is the square root of 42252?
About 205.5529, exactly 2√10563.
Is 42252 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42252?
It is a composite number with 24 divisors.