The number 48342
48342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1151. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1151, 2302, 3453, 6906, 8057, 16114, 24171, 48342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48342: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
48342 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 48342 itself that is 62250, so 48342 is abundant (62250 is more than 48342). Euler's totient φ(48342) = 13800 numbers up to 48342 share no factor with it.
- 4
The digits of 48342 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48342 = 2 \times 3 \times 7 \times 1151 \]
48342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 13800 |
| Square | 2336948964 |
| Cube | 112972786817688 |
| Square root | 219.868142 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8342 × |
48342 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and forty-two |
| Binary (base 2) | 1011110011010110 |
| Octal (base 8) | 136326 |
| Hexadecimal (base 16) | BCD6 |
| Base 3 | 2110022110 |
| As time | 48342 seconds = 13 h 25 min 42 s |
Is 48342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48342 ÷ 2 = 24171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48342 ÷ 3 = 16114) | 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 (48342 ÷ 6 = 8057) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48342 ÷ 7 = 6906) | 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 3) | 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 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 48342 a prime number?
No. 48342 = 2 × 3 × 7 × 1151, so it is divisible by 2.
What are the factors of 48342?
1, 2, 3, 6, 7, 14, 21, 42, 1151, 2302, 3453, 6906, 8057, 16114, 24171, 48342.
What is 48342 in binary?
1011110011010110 (hexadecimal BCD6, octal 136326).
What is the square root of 48342?
About 219.8681.
Is 48342 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48342?
48342 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.