The number 40625
40625 is a composite number with 12 divisors. Its prime factorisation is Ć 13. Divisors (12): 1, 5, 13, 25, 65, 125, 325, 625, 1625, 3125, 8125, 40625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40625 is composite. Its prime factorisation is
- 3
The divisors add up to 54684; without 40625 itself that is 14059, so 40625 is deficient (14059 is less than 40625). Euler's totient Ļ(40625) = 30000 numbers up to 40625 share no factor with it.
- 4
The digits of 40625 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40625 = 5^{5} \times 13 \]40625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54684 |
| Euler totient Ļ(n) | 30000 |
| Square | 1650390625 |
| Cube | 67047119140625 |
| Square root | 201.556444 (= 25ā65) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0625 Ć |
40625 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twenty-five |
| Binary (base 2) | 1001111010110001 |
| Octal (base 8) | 117261 |
| Hexadecimal (base 16) | 9EB1 |
| Base 3 | 2001201122 |
| As time | 40625 seconds = 11 h 17 min 5 s |
Is 40625 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 2) | 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 (40625 Ć· 5 = 8125) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40625 a prime number?
No. 40625 = Ć 13, so it is divisible by 5.
What are the factors of 40625?
1, 5, 13, 25, 65, 125, 325, 625, 1625, 3125, 8125, 40625.
What is 40625 in binary?
1001111010110001 (hexadecimal 9EB1, octal 117261).
What is the square root of 40625?
About 201.5564, exactly 25ā65.
Is 40625 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40625?
It is a composite number with 12 divisors.