The number 42748
42748 is a composite number with 6 divisors. Its prime factorisation is × 10687. Divisors (6): 1, 2, 4, 10687, 21374, 42748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42748 is composite. Its prime factorisation is
- 3
The divisors add up to 74816; without 42748 itself that is 32068, so 42748 is deficient (32068 is less than 42748). Euler's totient φ(42748) = 21372 numbers up to 42748 share no factor with it.
- 4
The digits of 42748 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42748 = 2^{2} \times 10687 \]42748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74816 |
| Euler totient φ(n) | 21372 |
| Square | 1827391504 |
| Cube | 78117332012992 |
| Square root | 206.755895 (= 2√10687) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2748 × |
42748 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and forty-eight |
| Binary (base 2) | 1010011011111100 |
| Octal (base 8) | 123374 |
| Hexadecimal (base 16) | A6FC |
| Base 3 | 2011122021 |
| As time | 42748 seconds = 11 h 52 min 28 s |
Is 42748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42748 ÷ 2 = 21374) | 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 (42748 ÷ 4 = 10687) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42748 a prime number?
No. 42748 = × 10687, so it is divisible by 2.
What are the factors of 42748?
1, 2, 4, 10687, 21374, 42748.
What is 42748 in binary?
1010011011111100 (hexadecimal A6FC, octal 123374).
What is the square root of 42748?
About 206.7559, exactly 2√10687.
Is 42748 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42748?
It is a composite number with 6 divisors.