The number 49225
49225 is a composite number with 12 divisors. Its prime factorisation is × 11 × 179. Divisors (12): 1, 5, 11, 25, 55, 179, 275, 895, 1969, 4475, 9845, 49225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49225 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 49225 itself that is 17735, so 49225 is deficient (17735 is less than 49225). Euler's totient φ(49225) = 35600 numbers up to 49225 share no factor with it.
- 4
The digits of 49225 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49225 = 5^{2} \times 11 \times 179 \]49225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 35600 |
| Square | 2423100625 |
| Cube | 119277128265625 |
| Square root | 221.867077 (= 5√1969) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.9225 × |
49225 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and twenty-five |
| Binary (base 2) | 1100000001001001 |
| Octal (base 8) | 140111 |
| Hexadecimal (base 16) | C049 |
| Base 3 | 2111112011 |
| As time | 49225 seconds = 13 h 40 min 25 s |
Is 49225 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 (49225 ÷ 5 = 9845) | 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 4) | 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 (49225 ÷ 11 = 4475) | 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 49225 a prime number?
No. 49225 = × 11 × 179, so it is divisible by 5.
What are the factors of 49225?
1, 5, 11, 25, 55, 179, 275, 895, 1969, 4475, 9845, 49225.
What is 49225 in binary?
1100000001001001 (hexadecimal C049, octal 140111).
What is the square root of 49225?
About 221.8671, exactly 5√1969.
Is 49225 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49225?
49225 is a happy number: repeatedly adding the squares of its digits reaches 1.