The number 40825
40825 is a composite number with 12 divisors. Its prime factorisation is × 23 × 71. Divisors (12): 1, 5, 23, 25, 71, 115, 355, 575, 1633, 1775, 8165, 40825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40825 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 40825 itself that is 12743, so 40825 is deficient (12743 is less than 40825). Euler's totient φ(40825) = 30800 numbers up to 40825 share no factor with it.
- 4
The digits of 40825 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40825 = 5^{2} \times 23 \times 71 \]40825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 30800 |
| Square | 1666680625 |
| Cube | 68042236515625 |
| Square root | 202.051974 (= 5√1633) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0825 × |
40825 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and twenty-five |
| Binary (base 2) | 1001111101111001 |
| Octal (base 8) | 117571 |
| Hexadecimal (base 16) | 9F79 |
| Base 3 | 2002000001 |
| As time | 40825 seconds = 11 h 20 min 25 s |
Is 40825 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 (40825 ÷ 5 = 8165) | 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 1) | 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 | No (remainder 4) | 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 40825 a prime number?
No. 40825 = × 23 × 71, so it is divisible by 5.
What are the factors of 40825?
1, 5, 23, 25, 71, 115, 355, 575, 1633, 1775, 8165, 40825.
What is 40825 in binary?
1001111101111001 (hexadecimal 9F79, octal 117571).
What is the square root of 40825?
About 202.0520, exactly 5√1633.
Is 40825 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40825?
40825 is a happy number: repeatedly adding the squares of its digits reaches 1.