The number 48738
48738 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 8123. Divisors (8): 1, 2, 3, 6, 8123, 16246, 24369, 48738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48738 is composite. Its prime factorisation is
- 3
The divisors add up to 97488; without 48738 itself that is 48750, so 48738 is abundant (48750 is more than 48738). Euler's totient φ(48738) = 16244 numbers up to 48738 share no factor with it.
- 4
The digits of 48738 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48738 = 2 \times 3 \times 8123 \]
48738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 97488 |
| Euler totient φ(n) | 16244 |
| Square | 2375392644 |
| Cube | 115771886683272 |
| Square root | 220.766845 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8738 × |
48738 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and thirty-eight |
| Binary (base 2) | 1011111001100010 |
| Octal (base 8) | 137142 |
| Hexadecimal (base 16) | BE62 |
| Base 3 | 2110212010 |
| As time | 48738 seconds = 13 h 32 min 18 s |
Is 48738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48738 ÷ 2 = 24369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48738 ÷ 3 = 16246) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (48738 ÷ 6 = 8123) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48738 a prime number?
No. 48738 = 2 × 3 × 8123, so it is divisible by 2.
What are the factors of 48738?
1, 2, 3, 6, 8123, 16246, 24369, 48738.
What is 48738 in binary?
1011111001100010 (hexadecimal BE62, octal 137142).
What is the square root of 48738?
About 220.7668.
Is 48738 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48738?
It is a composite number with 8 divisors.