The number 48355
48355 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 509. Divisors (8): 1, 5, 19, 95, 509, 2545, 9671, 48355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48355: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48355 is composite. Its prime factorisation is
- 3
The divisors add up to 61200; without 48355 itself that is 12845, so 48355 is deficient (12845 is less than 48355). Euler's totient φ(48355) = 36576 numbers up to 48355 share no factor with it.
- 4
The digits of 48355 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48355 = 5 \times 19 \times 509 \]
48355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61200 |
| Euler totient φ(n) | 36576 |
| Square | 2338206025 |
| Cube | 113063952338875 |
| Square root | 219.897703 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8355 × |
48355 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and fifty-five |
| Binary (base 2) | 1011110011100011 |
| Octal (base 8) | 136343 |
| Hexadecimal (base 16) | BCE3 |
| Base 3 | 2110022221 |
| As time | 48355 seconds = 13 h 25 min 55 s |
Is 48355 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48355 ÷ 5 = 9671) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48355 a prime number?
No. 48355 = 5 × 19 × 509, so it is divisible by 5.
What are the factors of 48355?
1, 5, 19, 95, 509, 2545, 9671, 48355.
What is 48355 in binary?
1011110011100011 (hexadecimal BCE3, octal 136343).
What is the square root of 48355?
About 219.8977.
Is 48355 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48355?
48355 is a happy number: repeatedly adding the squares of its digits reaches 1.