The number 48788
48788 is a composite number with 6 divisors. Its prime factorisation is × 12197. Divisors (6): 1, 2, 4, 12197, 24394, 48788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48788 is composite. Its prime factorisation is
- 3
The divisors add up to 85386; without 48788 itself that is 36598, so 48788 is deficient (36598 is less than 48788). Euler's totient φ(48788) = 24392 numbers up to 48788 share no factor with it.
- 4
The digits of 48788 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48788 = 2^{2} \times 12197 \]48788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 85386 |
| Euler totient φ(n) | 24392 |
| Square | 2380268944 |
| Cube | 116128561239872 |
| Square root | 220.880058 (= 2√12197) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8788 × |
48788 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and eighty-eight |
| Binary (base 2) | 1011111010010100 |
| Octal (base 8) | 137224 |
| Hexadecimal (base 16) | BE94 |
| Base 3 | 2110220222 |
| As time | 48788 seconds = 13 h 33 min 8 s |
Is 48788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48788 ÷ 2 = 24394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48788 ÷ 4 = 12197) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48788 a prime number?
No. 48788 = × 12197, so it is divisible by 2.
What are the factors of 48788?
1, 2, 4, 12197, 24394, 48788.
What is 48788 in binary?
1011111010010100 (hexadecimal BE94, octal 137224).
What is the square root of 48788?
About 220.8801, exactly 2√12197.
Is 48788 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 48788?
It is a composite number with 6 divisors.