The number 42250
42250 is a composite number with 24 divisors. Its prime factorisation is 2 × × . Divisors (24): 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 169, 250, 325, 338, 650 … 42250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42250: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.
- 2
42250 is composite. Its prime factorisation is
- 3
The divisors add up to 85644; without 42250 itself that is 43394, so 42250 is abundant (43394 is more than 42250). Euler's totient φ(42250) = 15600 numbers up to 42250 share no factor with it.
- 4
The digits of 42250 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42250 = 2 \times 5^{3} \times 13^{2} \]42250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 85644 |
| Euler totient φ(n) | 15600 |
| Square | 1785062500 |
| Cube | 75418890625000 |
| Square root | 205.548048 (= 65√10) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.225 × |
42250 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and fifty |
| Binary (base 2) | 1010010100001010 |
| Octal (base 8) | 122412 |
| Hexadecimal (base 16) | A50A |
| Base 3 | 2010221211 |
| As time | 42250 seconds = 11 h 44 min 10 s |
Is 42250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42250 ÷ 2 = 21125) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42250 ÷ 5 = 8450) | 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 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42250 ÷ 10 = 4225) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42250 a prime number?
No. 42250 = 2 × × , so it is divisible by 2.
What are the factors of 42250?
1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 169, 250, 325, 338, 650, 845, 1625, 1690, 3250, 4225, 8450, 21125, 42250.
What is 42250 in binary?
1010010100001010 (hexadecimal A50A, octal 122412).
What is the square root of 42250?
About 205.5480, exactly 65√10.
Is 42250 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42250?
42250 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.