The number 48138
48138 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 71 × 113. Divisors (16): 1, 2, 3, 6, 71, 113, 142, 213, 226, 339, 426, 678, 8023, 16046, 24069, 48138.
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How to work it out
- 1
48138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48138 is composite. Its prime factorisation is
- 3
The divisors add up to 98496; without 48138 itself that is 50358, so 48138 is abundant (50358 is more than 48138). Euler's totient φ(48138) = 15680 numbers up to 48138 share no factor with it.
- 4
The digits of 48138 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48138 = 2 \times 3 \times 71 \times 113 \]
48138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98496 |
| Euler totient φ(n) | 15680 |
| Square | 2317267044 |
| Cube | 111548600964072 |
| Square root | 219.403737 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8138 × |
48138 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and thirty-eight |
| Binary (base 2) | 1011110000001010 |
| Octal (base 8) | 136012 |
| Hexadecimal (base 16) | BC0A |
| Base 3 | 2110000220 |
| As time | 48138 seconds = 13 h 22 min 18 s |
Is 48138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48138 ÷ 2 = 24069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48138 ÷ 3 = 16046) | 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 (48138 ÷ 6 = 8023) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | 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 48138 a prime number?
No. 48138 = 2 × 3 × 71 × 113, so it is divisible by 2.
What are the factors of 48138?
1, 2, 3, 6, 71, 113, 142, 213, 226, 339, 426, 678, 8023, 16046, 24069, 48138.
What is 48138 in binary?
1011110000001010 (hexadecimal BC0A, octal 136012).
What is the square root of 48138?
About 219.4037.
Is 48138 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48138?
It is a composite number with 16 divisors.