The number 48542
48542 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1867. Divisors (8): 1, 2, 13, 26, 1867, 3734, 24271, 48542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48542 is composite. Its prime factorisation is
- 3
The divisors add up to 78456; without 48542 itself that is 29914, so 48542 is deficient (29914 is less than 48542). Euler's totient φ(48542) = 22392 numbers up to 48542 share no factor with it.
- 4
The digits of 48542 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 251 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48542 = 2 \times 13 \times 1867 \]
48542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78456 |
| Euler totient φ(n) | 22392 |
| Square | 2356325764 |
| Cube | 114380765236088 |
| Square root | 220.322491 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 251 |
| Scientific notation | 4.8542 × |
48542 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and forty-two |
| Binary (base 2) | 1011110110011110 |
| Octal (base 8) | 136636 |
| Hexadecimal (base 16) | BD9E |
| Base 3 | 2110120212 |
| As time | 48542 seconds = 13 h 29 min 2 s |
Is 48542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48542 ÷ 2 = 24271) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48542 a prime number?
No. 48542 = 2 × 13 × 1867, so it is divisible by 2.
What are the factors of 48542?
1, 2, 13, 26, 1867, 3734, 24271, 48542.
What is 48542 in binary?
1011110110011110 (hexadecimal BD9E, octal 136636).
What is the square root of 48542?
About 220.3225.
Is 48542 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48542?
It is a composite number with 8 divisors.