The number 48808
48808 is a composite number with 8 divisors. Its prime factorisation is × 6101. Divisors (8): 1, 2, 4, 8, 6101, 12202, 24404, 48808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48808: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48808 is composite. Its prime factorisation is
- 3
The divisors add up to 91530; without 48808 itself that is 42722, so 48808 is deficient (42722 is less than 48808). Euler's totient φ(48808) = 24400 numbers up to 48808 share no factor with it.
- 4
The digits of 48808 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48808 = 2^{3} \times 6101 \]48808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91530 |
| Euler totient φ(n) | 24400 |
| Square | 2382220864 |
| Cube | 116271435930112 |
| Square root | 220.925327 (= 2√12202) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8808 × |
48808 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and eight |
| Binary (base 2) | 1011111010101000 |
| Octal (base 8) | 137250 |
| Hexadecimal (base 16) | BEA8 |
| Base 3 | 2110221201 |
| As time | 48808 seconds = 13 h 33 min 28 s |
Is 48808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48808 ÷ 2 = 24404) | 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 | Yes (48808 ÷ 4 = 12202) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (48808 ÷ 8 = 6101) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48808 a prime number?
No. 48808 = × 6101, so it is divisible by 2.
What are the factors of 48808?
1, 2, 4, 8, 6101, 12202, 24404, 48808.
What is 48808 in binary?
1011111010101000 (hexadecimal BEA8, octal 137250).
What is the square root of 48808?
About 220.9253, exactly 2√12202.
Is 48808 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48808?
48808 is a happy number: repeatedly adding the squares of its digits reaches 1.