The number 16342
16342 is a composite number with 4 divisors. Its prime factorisation is 2 × 8171. Divisors (4): 1, 2, 8171, 16342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16342: a semiprime: 2 × 8171, the product of two primes.
- 2
16342 is composite. Its prime factorisation is
- 3
The divisors add up to 24516; without 16342 itself that is 8174, so 16342 is deficient (8174 is less than 16342). Euler's totient φ(16342) = 8170 numbers up to 16342 share no factor with it.
- 4
The digits of 16342 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16342 = 2 \times 8171 \]
16342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24516 |
| Euler totient φ(n) | 8170 |
| Square | 267060964 |
| Cube | 4364310273688 |
| Square root | 127.835832 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6342 × |
16342 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and forty-two |
| Binary (base 2) | 11111111010110 |
| Octal (base 8) | 37726 |
| Hexadecimal (base 16) | 3FD6 |
| Base 3 | 211102021 |
| As time | 16342 seconds = 4 h 32 min 22 s |
Is 16342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16342 ÷ 2 = 8171) | 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 | 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 4) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16342 a prime number?
No. 16342 = 2 × 8171, so it is divisible by 2.
What are the factors of 16342?
1, 2, 8171, 16342.
What is 16342 in binary?
11111111010110 (hexadecimal 3FD6, octal 37726).
What is the square root of 16342?
About 127.8358.
Is 16342 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16342?
16342 is a semiprime: 2 × 8171, the product of two primes.