The number 6342
6342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 151. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6342 is composite. Its prime factorisation is
- 3
The divisors add up to 14592; without 6342 itself that is 8250, so 6342 is abundant (8250 is more than 6342). Euler's totient φ(6342) = 1800 numbers up to 6342 share no factor with it.
- 4
The digits of 6342 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6342 = 2 \times 3 \times 7 \times 151 \]
6342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14592 |
| Euler totient φ(n) | 1800 |
| Square | 40220964 |
| Cube | 255081353688 |
| Square root | 79.636675 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 6.342 × |
6342 in other forms
| Form | Value |
|---|---|
| In words | six thousand three hundred and forty-two |
| Binary (base 2) | 1100011000110 |
| Octal (base 8) | 14306 |
| Hexadecimal (base 16) | 18C6 |
| Base 3 | 22200220 |
| As time | 6342 seconds = 1 h 45 min 42 s |
Is 6342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6342 ÷ 2 = 3171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6342 ÷ 3 = 2114) | 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 (6342 ÷ 6 = 1057) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6342 ÷ 7 = 906) | 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 6) | 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 6) | 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 6342 a prime number?
No. 6342 = 2 × 3 × 7 × 151, so it is divisible by 2.
What are the factors of 6342?
1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342.
What is 6342 in binary?
1100011000110 (hexadecimal 18C6, octal 14306).
What is the square root of 6342?
About 79.6367.
Is 6342 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6342?
It is a composite number with 16 divisors.