The number 41625
41625 is a composite number with 24 divisors. Its prime factorisation is × × 37. Divisors (24): 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555 … 41625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41625: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41625 is composite. Its prime factorisation is
- 3
The divisors add up to 77064; without 41625 itself that is 35439, so 41625 is deficient (35439 is less than 41625). Euler's totient φ(41625) = 21600 numbers up to 41625 share no factor with it.
- 4
The digits of 41625 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41625 = 3^{2} \times 5^{3} \times 37 \]41625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77064 |
| Euler totient φ(n) | 21600 |
| Square | 1732640625 |
| Cube | 72121166015625 |
| Square root | 204.022058 (= 15√185) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1625 × |
41625 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and twenty-five |
| Binary (base 2) | 1010001010011001 |
| Octal (base 8) | 121231 |
| Hexadecimal (base 16) | A299 |
| Base 3 | 2010002200 |
| As time | 41625 seconds = 11 h 33 min 45 s |
Is 41625 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 (41625 ÷ 3 = 13875) | 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 (41625 ÷ 5 = 8325) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41625 ÷ 9 = 4625) | 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 1) | 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 41625 a prime number?
No. 41625 = × × 37, so it is divisible by 3.
What are the factors of 41625?
1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555, 925, 1125, 1665, 2775, 4625, 8325, 13875, 41625.
What is 41625 in binary?
1010001010011001 (hexadecimal A299, octal 121231).
What is the square root of 41625?
About 204.0221, exactly 15√185.
Is 41625 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41625?
41625 is a happy number: repeatedly adding the squares of its digits reaches 1.