The number 42525
42525 is a composite number with 36 divisors. Its prime factorisation is × × 7. Divisors (36): 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 135 … 42525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42525 is composite. Its prime factorisation is
- 3
The divisors add up to 90272; without 42525 itself that is 47747, so 42525 is abundant (47747 is more than 42525). Euler's totient φ(42525) = 19440 numbers up to 42525 share no factor with it.
- 4
The digits of 42525 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42525 = 3^{5} \times 5^{2} \times 7 \]42525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 90272 |
| Euler totient φ(n) | 19440 |
| Square | 1808375625 |
| Cube | 76901173453125 |
| Square root | 206.215906 (= 45√21) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2525 × |
42525 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twenty-five |
| Binary (base 2) | 1010011000011101 |
| Octal (base 8) | 123035 |
| Hexadecimal (base 16) | A61D |
| Base 3 | 2011100000 |
| As time | 42525 seconds = 11 h 48 min 45 s |
Is 42525 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42525 ÷ 3 = 14175) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42525 ÷ 5 = 8505) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42525 ÷ 7 = 6075) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42525 ÷ 9 = 4725) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42525 a prime number?
No. 42525 = × × 7, so it is divisible by 3.
What are the factors of 42525?
1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 135, 175, 189, 225, 243, 315, 405, 525, 567, 675, 945, 1215, 1575, 1701, 2025, 2835, 4725, 6075, 8505, 14175, 42525.
What is 42525 in binary?
1010011000011101 (hexadecimal A61D, octal 123035).
What is the square root of 42525?
About 206.2159, exactly 45√21.
Is 42525 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42525?
It is a composite number with 36 divisors.