The number 48042
48042 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 157. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 157, 306, 314, 471, 942 … 48042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48042: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
48042 is composite. Its prime factorisation is
- 3
The divisors add up to 110916; without 48042 itself that is 62874, so 48042 is abundant (62874 is more than 48042). Euler's totient φ(48042) = 14976 numbers up to 48042 share no factor with it.
- 4
The digits of 48042 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48042 = 2 \times 3^{2} \times 17 \times 157 \]48042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110916 |
| Euler totient φ(n) | 14976 |
| Square | 2308033764 |
| Cube | 110882558090088 |
| Square root | 219.184853 (= 3√5338) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8042 × |
48042 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and forty-two |
| Binary (base 2) | 1011101110101010 |
| Octal (base 8) | 135652 |
| Hexadecimal (base 16) | BBAA |
| Base 3 | 2102220100 |
| As time | 48042 seconds = 13 h 20 min 42 s |
Is 48042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48042 ÷ 2 = 24021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48042 ÷ 3 = 16014) | 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 | Yes (48042 ÷ 6 = 8007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (48042 ÷ 9 = 5338) | 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 5) | 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 48042 a prime number?
No. 48042 = 2 × × 17 × 157, so it is divisible by 2.
What are the factors of 48042?
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 157, 306, 314, 471, 942, 1413, 2669, 2826, 5338, 8007, 16014, 24021, 48042.
What is 48042 in binary?
1011101110101010 (hexadecimal BBAA, octal 135652).
What is the square root of 48042?
About 219.1849, exactly 3√5338.
Is 48042 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48042?
48042 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.