The number 42625
42625 is a composite number with 16 divisors. Its prime factorisation is × 11 × 31. Divisors (16): 1, 5, 11, 25, 31, 55, 125, 155, 275, 341, 775, 1375, 1705, 3875, 8525, 42625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42625 is composite. Its prime factorisation is
- 3
The divisors add up to 59904; without 42625 itself that is 17279, so 42625 is deficient (17279 is less than 42625). Euler's totient φ(42625) = 30000 numbers up to 42625 share no factor with it.
- 4
The digits of 42625 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42625 = 5^{3} \times 11 \times 31 \]42625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 59904 |
| Euler totient φ(n) | 30000 |
| Square | 1816890625 |
| Cube | 77444962890625 |
| Square root | 206.458228 (= 5√1705) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2625 × |
42625 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and twenty-five |
| Binary (base 2) | 1010011010000001 |
| Octal (base 8) | 123201 |
| Hexadecimal (base 16) | A681 |
| Base 3 | 2011110201 |
| As time | 42625 seconds = 11 h 50 min 25 s |
Is 42625 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 | No (remainder 1) | 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 (42625 ÷ 5 = 8525) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (42625 ÷ 11 = 3875) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42625 a prime number?
No. 42625 = × 11 × 31, so it is divisible by 5.
What are the factors of 42625?
1, 5, 11, 25, 31, 55, 125, 155, 275, 341, 775, 1375, 1705, 3875, 8525, 42625.
What is 42625 in binary?
1010011010000001 (hexadecimal A681, octal 123201).
What is the square root of 42625?
About 206.4582, exactly 5√1705.
Is 42625 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42625?
It is a composite number with 16 divisors.