The number 48025
48025 is a composite number with 12 divisors. Its prime factorisation is × 17 × 113. Divisors (12): 1, 5, 17, 25, 85, 113, 425, 565, 1921, 2825, 9605, 48025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48025: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48025 is composite. Its prime factorisation is
- 3
The divisors add up to 63612; without 48025 itself that is 15587, so 48025 is deficient (15587 is less than 48025). Euler's totient φ(48025) = 35840 numbers up to 48025 share no factor with it.
- 4
The digits of 48025 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48025 = 5^{2} \times 17 \times 113 \]48025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63612 |
| Euler totient φ(n) | 35840 |
| Square | 2306400625 |
| Cube | 110764890015625 |
| Square root | 219.146070 (= 5√1921) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8025 × |
48025 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty-five |
| Binary (base 2) | 1011101110011001 |
| Octal (base 8) | 135631 |
| Hexadecimal (base 16) | BB99 |
| Base 3 | 2102212201 |
| As time | 48025 seconds = 13 h 20 min 25 s |
Is 48025 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 (48025 ÷ 5 = 9605) | 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 5) | 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 10) | 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 48025 a prime number?
No. 48025 = × 17 × 113, so it is divisible by 5.
What are the factors of 48025?
1, 5, 17, 25, 85, 113, 425, 565, 1921, 2825, 9605, 48025.
What is 48025 in binary?
1011101110011001 (hexadecimal BB99, octal 135631).
What is the square root of 48025?
About 219.1461, exactly 5√1921.
Is 48025 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48025?
48025 is a happy number: repeatedly adding the squares of its digits reaches 1.