The number 48925
48925 is a composite number with 12 divisors. Its prime factorisation is × 19 × 103. Divisors (12): 1, 5, 19, 25, 95, 103, 475, 515, 1957, 2575, 9785, 48925.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48925: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48925 is composite. Its prime factorisation is
- 3
The divisors add up to 64480; without 48925 itself that is 15555, so 48925 is deficient (15555 is less than 48925). Euler's totient φ(48925) = 36720 numbers up to 48925 share no factor with it.
- 4
The digits of 48925 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48925 = 5^{2} \times 19 \times 103 \]48925 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64480 |
| Euler totient φ(n) | 36720 |
| Square | 2393655625 |
| Cube | 117109601453125 |
| Square root | 221.189964 (= 5√1957) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8925 × |
48925 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and twenty-five |
| Binary (base 2) | 1011111100011101 |
| Octal (base 8) | 137435 |
| Hexadecimal (base 16) | BF1D |
| Base 3 | 2111010001 |
| As time | 48925 seconds = 13 h 35 min 25 s |
Is 48925 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 (48925 ÷ 5 = 9785) | 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 2) | 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 5) | 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 8) | 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 48925 a prime number?
No. 48925 = × 19 × 103, so it is divisible by 5.
What are the factors of 48925?
1, 5, 19, 25, 95, 103, 475, 515, 1957, 2575, 9785, 48925.
What is 48925 in binary?
1011111100011101 (hexadecimal BF1D, octal 137435).
What is the square root of 48925?
About 221.1900, exactly 5√1957.
Is 48925 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48925?
48925 is a happy number: repeatedly adding the squares of its digits reaches 1.