The number 42500
42500 is a composite number with 30 divisors. Its prime factorisation is × × 17. Divisors (30): 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250 … 42500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42500 is composite. Its prime factorisation is
- 3
The divisors add up to 98406; without 42500 itself that is 55906, so 42500 is abundant (55906 is more than 42500). Euler's totient φ(42500) = 16000 numbers up to 42500 share no factor with it.
- 4
The digits of 42500 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42500 = 2^{2} \times 5^{4} \times 17 \]42500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 98406 |
| Euler totient φ(n) | 16000 |
| Square | 1806250000 |
| Cube | 76765625000000 |
| Square root | 206.155281 (= 50√17) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.25 × |
42500 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred |
| Binary (base 2) | 1010011000000100 |
| Octal (base 8) | 123004 |
| Hexadecimal (base 16) | A604 |
| Base 3 | 2011022002 |
| As time | 42500 seconds = 11 h 48 min 20 s |
Is 42500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42500 ÷ 2 = 21250) | 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 (42500 ÷ 4 = 10625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42500 ÷ 5 = 8500) | 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 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42500 ÷ 10 = 4250) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42500 a prime number?
No. 42500 = × × 17, so it is divisible by 2.
What are the factors of 42500?
1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 625, 850, 1250, 1700, 2125, 2500, 4250, 8500, 10625, 21250, 42500.
What is 42500 in binary?
1010011000000100 (hexadecimal A604, octal 123004).
What is the square root of 42500?
About 206.1553, exactly 50√17.
Is 42500 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42500?
It is a composite number with 30 divisors.