The number 49825
49825 is a composite number with 6 divisors. Its prime factorisation is Ć 1993. Divisors (6): 1, 5, 25, 1993, 9965, 49825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49825 is composite. Its prime factorisation is
- 3
The divisors add up to 61814; without 49825 itself that is 11989, so 49825 is deficient (11989 is less than 49825). Euler's totient Ļ(49825) = 39840 numbers up to 49825 share no factor with it.
- 4
The digits of 49825 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49825 = 5^{2} \times 1993 \]49825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 61814 |
| Euler totient Ļ(n) | 39840 |
| Square | 2482530625 |
| Cube | 123692088390625 |
| Square root | 223.215143 (= 5ā1993) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9825 Ć |
49825 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and twenty-five |
| Binary (base 2) | 1100001010100001 |
| Octal (base 8) | 141241 |
| Hexadecimal (base 16) | C2A1 |
| Base 3 | 2112100101 |
| As time | 49825 seconds = 13 h 50 min 25 s |
Is 49825 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 (49825 Ć· 5 = 9965) | 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 6) | 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 6) | 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 49825 a prime number?
No. 49825 = Ć 1993, so it is divisible by 5.
What are the factors of 49825?
1, 5, 25, 1993, 9965, 49825.
What is 49825 in binary?
1100001010100001 (hexadecimal C2A1, octal 141241).
What is the square root of 49825?
About 223.2151, exactly 5ā1993.
Is 49825 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49825?
49825 is a happy number: repeatedly adding the squares of its digits reaches 1.